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28357120 = 295111953
BaseRepresentation
bin110110000101…
…1001000000000
31222100200122201
41230023020000
524224411440
62451442544
7463013551
oct154131000
958320581
1028357120
1115009140
1295b6454
135b4b27c
143aa2328
15275219a
hex1b0b200

28357120 has 160 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 9584640.

The previous prime is 28357103. The next prime is 28357127. The reversal of 28357120 is 2175382.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28357127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535014 + ... + 535066.

It is an arithmetic number, because the mean of its divisors is an integer number (497178).

Almost surely, 228357120 is an apocalyptic number.

28357120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

28357120 is an abundant number, since it is smaller than the sum of its proper divisors (51191360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28357120 is a wasteful number, since it uses less digits than its factorization.

28357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 28357120 is about 5325.1403737366. The cubic root of 28357120 is about 304.9444313348.

The spelling of 28357120 in words is "twenty-eight million, three hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 53 55 64 76 80 88 95 106 110 128 152 160 176 190 209 212 220 256 265 304 320 352 380 418 424 440 512 530 583 608 640 704 760 836 848 880 1007 1045 1060 1166 1216 1280 1408 1520 1672 1696 1760 2014 2090 2120 2332 2432 2560 2816 2915 3040 3344 3392 3520 4028 4180 4240 4664 4864 5035 5632 5830 6080 6688 6784 7040 8056 8360 8480 9328 9728 10070 11077 11660 12160 13376 13568 14080 16112 16720 16960 18656 20140 22154 23320 24320 26752 27136 28160 32224 33440 33920 37312 40280 44308 46640 48640 53504 55385 64448 66880 67840 74624 80560 88616 93280 107008 110770 128896 133760 135680 149248 161120 177232 186560 221540 257792 267520 298496 322240 354464 373120 443080 515584 535040 644480 708928 746240 886160 1288960 1417856 1492480 1772320 2577920 2835712 3544640 5671424 7089280 14178560 28357120