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28597920 = 2535134583
BaseRepresentation
bin110110100010…
…1111010100000
31222210220222020
41231011322200
524310113140
62500541440
7465035601
oct155057240
958726866
1028597920
111516304a
1296b1880
135c03a60
143b25da8
15279d6d0
hex1b45ea0

28597920 has 96 divisors (see below), whose sum is σ = 97034112. Its totient is φ = 7037952.

The previous prime is 28597913. The next prime is 28597939. The reversal of 28597920 is 2979582.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949 + ... + 8531.

It is an arithmetic number, because the mean of its divisors is an integer number (1010772).

Almost surely, 228597920 is an apocalyptic number.

28597920 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 28597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48517056).

28597920 is an abundant number, since it is smaller than the sum of its proper divisors (68436192).

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

28597920 is a wasteful number, since it uses less digits than its factorization.

28597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 28597920 is about 5347.7023103385. The cubic root of 28597920 is about 305.8051645355.

The spelling of 28597920 in words is "twenty-eight million, five hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 4583 6240 9166 13749 18332 22915 27498 36664 45830 54996 59579 68745 73328 91660 109992 119158 137490 146656 178737 183320 219984 238316 274980 297895 357474 366640 439968 476632 549960 595790 714948 733280 893685 953264 1099920 1191580 1429896 1787370 1906528 2199840 2383160 2859792 3574740 4766320 5719584 7149480 9532640 14298960 28597920