1057086828 has 48 divisors (see below), whose sum is σ = 3132111360. Its totient is φ = 302024592.

The previous prime is 1057086791. The next prime is 1057086829. The reversal of 1057086828 is 8286807501.

1057086828 is a `hidden beast` number, since 10 + 570 + 8 + 68 + 2 + 8 = 666.

It is a super-2 number, since 2×1057086828² = 2234865123862203168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057086829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698376 + ... + 699887.

It is an arithmetic number, because the mean of its divisors is an integer number (65252320).

Almost surely, 2^1057086828 is an apocalyptic number.

1057086828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057086828 is an abundant number, since it is smaller than the sum of its proper divisors (2075024532).

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

1057086828 is a wasteful number, since it uses less digits than its factorization.

1057086828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398283 (or 1398275 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1057086828 is about 32512.8717279788. The cubic root of 1057086828 is about 1018.6779064594.

The spelling of 1057086828 in words is "one billion, fifty-seven million, eighty-six thousand, eight hundred twenty-eight".