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28762464 = 253535653
BaseRepresentation
bin110110110111…
…0000101100000
32000010021200110
41231232011200
524330344324
62504251320
7466322403
oct155560540
960107613
1028762464
1115265735
129770b40
135c60913
143b69d3a
1527d2329
hex1b6e160

28762464 has 48 divisors (see below), whose sum is σ = 76939632. Its totient is φ = 9404928.

The previous prime is 28762457. The next prime is 28762507. The reversal of 28762464 is 46426782.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2262 + ... + 7914.

It is an arithmetic number, because the mean of its divisors is an integer number (1602909).

Almost surely, 228762464 is an apocalyptic number.

28762464 is a gapful number since it is divisible by the number (24) 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 28762464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38469816).

28762464 is an abundant number, since it is smaller than the sum of its proper divisors (48177168).

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

28762464 is a wasteful number, since it uses less digits than its factorization.

28762464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5711 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 28762464 is about 5363.0647954318. The cubic root of 28762464 is about 306.3905475113.

The spelling of 28762464 in words is "twenty-eight million, seven hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 5653 11306 16959 22612 33918 45224 67836 90448 135672 180896 271344 299609 542688 599218 898827 1198436 1797654 2396872 3595308 4793744 7190616 9587488 14381232 28762464