1058428800 has 576 divisors, whose sum is σ = 4454246160. Its totient is φ = 235929600.

The previous prime is 1058428759. The next prime is 1058428853. The reversal of 1058428800 is 88248501.

1058428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1058428800² = 2240543049338880000, 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118272 + ... + 4118528.

Almost surely, 2^1058428800 is an apocalyptic number.

1058428800 is a gapful number since it is divisible by the number (10) 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 1058428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227123080).

1058428800 is an abundant number, since it is smaller than the sum of its proper divisors (3395817360).

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

1058428800 is a wasteful number, since it uses less digits than its factorization.

1058428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1058428800 is about 32533.5027317994. The cubic root of 1058428800 is about 1019.1087947946.

The spelling of 1058428800 in words is "one billion, fifty-eight million, four hundred twenty-eight thousand, eight hundred".