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28446840 = 23325312549
BaseRepresentation
bin110110010000…
…1000001111000
31222112020201200
41230201001320
524240244330
62453414200
7463536252
oct154410170
958466650
1028446840
111506a594
12963a360
135b80066
143ac6cd2
15276da60
hex1b21078

28446840 has 96 divisors (see below), whose sum is σ = 95472000. Its totient is φ = 7338240.

The previous prime is 28446833. The next prime is 28446893. The reversal of 28446840 is 4864482.

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

It is a junction number, because it is equal to n+sod(n) for n = 28446795 and 28446804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9886 + ... + 12434.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 228446840 is an apocalyptic number.

28446840 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 28446840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736000).

28446840 is an abundant number, since it is smaller than the sum of its proper divisors (67025160).

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

28446840 is a wasteful number, since it uses less digits than its factorization.

28446840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28446840 is about 5333.5579119383. The cubic root of 28446840 is about 305.2657005650.

The spelling of 28446840 in words is "twenty-eight million, four hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2549 2790 3720 5098 5580 7647 10196 11160 12745 15294 20392 22941 25490 30588 38235 45882 50980 61176 76470 79019 91764 101960 114705 152940 158038 183528 229410 237057 305880 316076 395095 458820 474114 632152 711171 790190 917640 948228 1185285 1422342 1580380 1896456 2370570 2844684 3160760 3555855 4741140 5689368 7111710 9482280 14223420 28446840