2728575432 has 96 divisors (see below), whose sum is σ = 8339760000. Its totient is φ = 798322560.

The previous prime is 2728575401. The next prime is 2728575457. The reversal of 2728575432 is 2345758272.

2728575432 is a `hidden beast` number, since 2 + 72 + 8 + 575 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×2728575432² = 14890247776227973248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36432 + ... + 82367.

It is an arithmetic number, because the mean of its divisors is an integer number (86872500).

Almost surely, 2^2728575432 is an apocalyptic number.

2728575432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2728575432 is an abundant number, since it is smaller than the sum of its proper divisors (5611184568).

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

2728575432 is a wasteful number, since it uses less digits than its factorization.

2728575432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118851 (or 118844 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 2728575432 is about 52235.7677458655. The cubic root of 2728575432 is about 1397.3718435180.

The spelling of 2728575432 in words is "two billion, seven hundred twenty-eight million, five hundred seventy-five thousand, four hundred thirty-two".