58401792 has 66 divisors (see below), whose sum is σ = 168660518. Its totient is φ = 19464192.

The previous prime is 58401781. The next prime is 58401797. The reversal of 58401792 is 29710485.

58401792 is a `hidden beast` number, since 584 + 0 + 1 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 11943936 = 6816^2 + 3456^2 .

It is a super-2 number, since 2×58401792² = 6821538617622528, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (58401797) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6048 + ... + 12384.

Almost surely, 2^58401792 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 58401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84330259).

58401792 is an abundant number, since it is smaller than the sum of its proper divisors (110258726).

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

58401792 is a wasteful number, since it uses less digits than its factorization.

58401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 58401792 is about 7642.1065158764. The cubic root of 58401792 is about 387.9794512092.

The spelling of 58401792 in words is "fifty-eight million, four hundred one thousand, seven hundred ninety-two".