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28695456 = 2532175861
BaseRepresentation
bin110110101110…
…1101110100000
31222222212202200
41231131232200
524321223311
62503013200
7465623136
oct155355640
958885680
1028695456
111521a359
12973a200
135c3927a
143b4d756
1527bc556
hex1b5dba0

28695456 has 72 divisors (see below), whose sum is σ = 86417604. Its totient is φ = 9000960.

The previous prime is 28695397. The next prime is 28695479. The reversal of 28695456 is 65459682.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 435600 = 5316^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966 + ... + 7826.

Almost surely, 228695456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28695456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43208802).

28695456 is an abundant number, since it is smaller than the sum of its proper divisors (57722148).

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

28695456 is a wasteful number, since it uses less digits than its factorization.

28695456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5883 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 28695456 is about 5356.8139784764. The cubic root of 28695456 is about 306.1524295034.

The spelling of 28695456 in words is "twenty-eight million, six hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 5861 11722 17583 23444 35166 46888 52749 70332 93776 99637 105498 140664 187552 199274 210996 281328 298911 398548 421992 562656 597822 797096 843984 896733 1195644 1594192 1687968 1793466 2391288 3188384 3586932 4782576 7173864 9565152 14347728 28695456