10828162728 has 64 divisors (see below), whose sum is σ = 30252196800. Its totient is φ = 3588511680.

The previous prime is 10828162711. The next prime is 10828162769. The reversal of 10828162728 is 82726182801.

It is a happy number.

10828162728 is a `hidden beast` number, since 10 + 8 + 2 + 8 + 1 + 627 + 2 + 8 = 666.

It is a super-3 number, since 3×10828162728³ (a number of 31 digits) contains 333 as substring.

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, 107518 + ... + 182253.

It is an arithmetic number, because the mean of its divisors is an integer number (472690575).

Almost surely, 2^10828162728 is an apocalyptic number.

10828162728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10828162728 is an abundant number, since it is smaller than the sum of its proper divisors (19424034072).

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

10828162728 is a wasteful number, since it uses less digits than its factorization.

10828162728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289959 (or 289949 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10828162728 in words is "ten billion, eight hundred twenty-eight million, one hundred sixty-two thousand, seven hundred twenty-eight".