58728190921 has 9 divisors (see below), whose sum is σ = 59634300999. Its totient is φ = 57835656384.

The previous prime is 58728190907. The next prime is 58728191003. The reversal of 58728190921 is 12909182785.

The square root of 58728190921 is 242339.

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

It can be written as a sum of positive squares in only one way, i.e., 291897225 + 58436293696 = 17085^2 + 241736^2 .

It is not a de Polignac number, because 58728190921 - 2⁵ = 58728190889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58728196921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16234905 + ... + 16238521.

Almost surely, 2^58728190921 is an apocalyptic number.

58728190921 is the 242339-th square number.

58728190921 is the 121170-th centered octagonal number.

It is an amenable number.

58728190921 is a deficient number, since it is larger than the sum of its proper divisors (906110078).

58728190921 is an frugal number, since it uses more digits than its factorization.

58728190921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 58728190921 in words is "fifty-eight billion, seven hundred twenty-eight million, one hundred ninety thousand, nine hundred twenty-one".