1057528224 has 240 divisors, whose sum is σ = 3303381312. Its totient is φ = 332563968.

The previous prime is 1057528223. The next prime is 1057528229. The reversal of 1057528224 is 4228257501.

It is a happy number.

1057528224 is a `hidden beast` number, since 1 + 0 + 575 + 2 + 82 + 2 + 4 = 666.

It is a super-2 number, since 2×1057528224² = 2236731889113188352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057528223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14486652 + ... + 14486724.

Almost surely, 2^1057528224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651690656).

1057528224 is an abundant number, since it is smaller than the sum of its proper divisors (2245853088).

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

1057528224 is an frugal number, since it uses more digits than its factorization.

1057528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1057528224 is about 32519.6590388030. The cubic root of 1057528224 is about 1018.8196727338.

The spelling of 1057528224 in words is "one billion, fifty-seven million, five hundred twenty-eight thousand, two hundred twenty-four".