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28762240 = 275133457
BaseRepresentation
bin110110110111…
…0000010000000
32000010021101011
41231232002000
524330342430
62504250304
7466321633
oct155560200
960107334
1028762240
1115265551
129770994
135c607a0
143b69c1a
1527d222a
hex1b6e080

28762240 has 64 divisors (see below), whose sum is σ = 74070360. Its totient is φ = 10616832.

The previous prime is 28762231. The next prime is 28762277. The reversal of 28762240 is 4226782.

It can be written as a sum of positive squares in 4 ways, for example, as 8620096 + 20142144 = 2936^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6592 + ... + 10048.

Almost surely, 228762240 is an apocalyptic number.

28762240 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 28762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035180).

28762240 is an abundant number, since it is smaller than the sum of its proper divisors (45308120).

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

28762240 is a wasteful number, since it uses less digits than its factorization.

28762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 28762240 is about 5363.0439118098. The cubic root of 28762240 is about 306.3897521268.

The spelling of 28762240 in words is "twenty-eight million, seven hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 3457 4160 6914 8320 13828 17285 27656 34570 44941 55312 69140 89882 110624 138280 179764 221248 224705 276560 359528 442496 449410 553120 719056 898820 1106240 1438112 1797640 2212480 2876224 3595280 5752448 7190560 14381120 28762240