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28569408 = 263729733
BaseRepresentation
bin110110011111…
…0111101000000
31222202110212020
41230332331000
524303210113
62500201440
7464556510
oct154767500
958673766
1028569408
111514368a
129699280
135bc3a9a
143b19840
152795023
hex1b3ef40

28569408 has 112 divisors (see below), whose sum is σ = 89489280. Its totient is φ = 7870464.

The previous prime is 28569391. The next prime is 28569413. The reversal of 28569408 is 80496582.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×285694082 = 1632422146940928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28569408.

It is a congruent number.

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, 38610 + ... + 39342.

Almost surely, 228569408 is an apocalyptic number.

28569408 is a gapful number since it is divisible by the number (28) 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 28569408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744640).

28569408 is an abundant number, since it is smaller than the sum of its proper divisors (60919872).

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

28569408 is a wasteful number, since it uses less digits than its factorization.

28569408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 28569408 is about 5345.0358277564. The cubic root of 28569408 is about 305.7035019425.

The spelling of 28569408 in words is "twenty-eight million, five hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 733 812 928 1218 1344 1392 1466 1624 1856 2199 2436 2784 2932 3248 4398 4872 5131 5568 5864 6496 8796 9744 10262 11728 12992 15393 17592 19488 20524 21257 23456 30786 35184 38976 41048 42514 46912 61572 63771 70368 82096 85028 123144 127542 140736 148799 164192 170056 246288 255084 297598 328384 340112 446397 492576 510168 595196 680224 892794 985152 1020336 1190392 1360448 1785588 2040672 2380784 3571176 4081344 4761568 7142352 9523136 14284704 28569408