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28056960 = 273254871
BaseRepresentation
bin110101100000…
…1110110000000
31221210102220200
41223001312000
524140310320
62441205200
7460323501
oct153016600
957712820
1028056960
1114923678
129490800
135a74769
143a24ba8
1526e3290
hex1ac1d80

28056960 has 96 divisors (see below), whose sum is σ = 96904080. Its totient is φ = 7480320.

The previous prime is 28056943. The next prime is 28056961. The reversal of 28056960 is 6965082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28056961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3325 + ... + 8195.

Almost surely, 228056960 is an apocalyptic number.

28056960 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 28056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48452040).

28056960 is an abundant number, since it is smaller than the sum of its proper divisors (68847120).

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

28056960 is a wasteful number, since it uses less digits than its factorization.

28056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28056960 is about 5296.8821017652. The cubic root of 28056960 is about 303.8646673710.

The spelling of 28056960 in words is "twenty-eight million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 4871 5760 9742 14613 19484 24355 29226 38968 43839 48710 58452 73065 77936 87678 97420 116904 146130 155872 175356 194840 219195 233808 292260 311744 350712 389680 438390 467616 584520 623488 701424 779360 876780 935232 1169040 1402848 1558720 1753560 1870464 2338080 2805696 3117440 3507120 4676160 5611392 7014240 9352320 14028480 28056960