10828560 has 40 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 2887552.

The previous prime is 10828549. The next prime is 10828619. The reversal of 10828560 is 6582801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22320 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (839232).

Almost surely, 2^10828560 is an apocalyptic number.

10828560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828560 is an abundant number, since it is smaller than the sum of its proper divisors (22740720).

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

10828560 is a wasteful number, since it uses less digits than its factorization.

10828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45135 (or 45129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10828560 is about 3290.6777417426. The cubic root of 10828560 is about 221.2365627512.

It can be divided in two parts, 108285 and 60, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 10828560 in words is "ten million, eight hundred twenty-eight thousand, five hundred sixty".