1057505328 has 160 divisors (see below), whose sum is σ = 3337286400. Its totient is φ = 317952000.

The previous prime is 1057505327. The next prime is 1057505341. The reversal of 1057505328 is 8235057501.

1057505328 is a `hidden beast` number, since 10 + 575 + 0 + 53 + 28 = 666.

It is a super-2 number, since 2×1057505328² = 2236635037496775168, 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 = 1057505292 and 1057505301.

It is not an unprimeable number, because it can be changed into a prime (1057505327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659728 + ... + 661328.

It is an arithmetic number, because the mean of its divisors is an integer number (20858040).

Almost surely, 2^1057505328 is an apocalyptic number.

1057505328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668643200).

1057505328 is an abundant number, since it is smaller than the sum of its proper divisors (2279781072).

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

1057505328 is a wasteful number, since it uses less digits than its factorization.

1057505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1057505328 is about 32519.3070036863. The cubic root of 1057505328 is about 1018.8123200337.

The spelling of 1057505328 in words is "one billion, fifty-seven million, five hundred five thousand, three hundred twenty-eight".