58428558400 has 63 divisors (see below), whose sum is σ = 143794566741. Its totient is φ = 23367555840.

The previous prime is 58428558373. The next prime is 58428558427. The reversal of 58428558400 is 485582485.

The square root of 58428558400 is 241720.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (58428558373) and next prime (58428558427).

It can be written as a sum of positive squares in only one way, i.e., 21034281024 + 37394277376 = 145032^2 + 193376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9665779 + ... + 9671821.

Almost surely, 2^58428558400 is an apocalyptic number.

58428558400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58428558400 is the 241720-th square number.

It is an amenable number.

58428558400 is an abundant number, since it is smaller than the sum of its proper divisors (85366008341).

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

58428558400 is an frugal number, since it uses more digits than its factorization.

58428558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 49.

Multiplying 58428558400 by its sum of digits (49), we get a square (2862999361600 = 1692040²).

The spelling of 58428558400 in words is "fifty-eight billion, four hundred twenty-eight million, five hundred fifty-eight thousand, four hundred".