58401028 has 48 divisors (see below), whose sum is σ = 119677824. Its totient is φ = 24422400.

The previous prime is 58401023. The next prime is 58401029. The reversal of 58401028 is 82010485.

58401028 is a nontrivial binomial coefficient, being equal to C(10808, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 58400987 and 58401005.

It is not an unprimeable number, because it can be changed into a prime (58401023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302500 + ... + 302692.

It is an arithmetic number, because the mean of its divisors is an integer number (2493288).

Almost surely, 2^58401028 is an apocalyptic number.

58401028 is the 10807-th triangular number and also the 5404-th hexagonal number.

58401028 is the 3603-rd centered nonagonal number.

It is an amenable number.

58401028 is an abundant number, since it is smaller than the sum of its proper divisors (61276796).

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

58401028 is a wasteful number, since it uses less digits than its factorization.

58401028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 58401028 is about 7642.0565294952. The cubic root of 58401028 is about 387.9777593799.

The spelling of 58401028 in words is "fifty-eight million, four hundred one thousand, twenty-eight".