1057332528 has 100 divisors (see below), whose sum is σ = 3497432400. Its totient is φ = 302092416.

The previous prime is 1057332503. The next prime is 1057332533. The reversal of 1057332528 is 8252337501.

It is a happy number.

1057332528 is a `hidden beast` number, since 1 + 0 + 573 + 32 + 52 + 8 = 666.

1057332528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057332528² = 2235904149533741568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1057332492 and 1057332501.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49203 + ... + 67346.

It is an arithmetic number, because the mean of its divisors is an integer number (34974324).

Almost surely, 2^1057332528 is an apocalyptic number.

1057332528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1057332528 is an abundant number, since it is smaller than the sum of its proper divisors (2440099872).

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

1057332528 is a wasteful number, since it uses less digits than its factorization.

1057332528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116576 (or 116561 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1057332528 is about 32516.6500119554. The cubic root of 1057332528 is about 1018.7568245343.

The spelling of 1057332528 in words is "one billion, fifty-seven million, three hundred thirty-two thousand, five hundred twenty-eight".