58077828 has 36 divisors (see below), whose sum is σ = 148270668. Its totient is φ = 19166400.

The previous prime is 58077823. The next prime is 58077847. The reversal of 58077828 is 82877085.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50722884 + 7354944 = 7122^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (58077823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4351 + ... + 11622.

Almost surely, 2^58077828 is an apocalyptic number.

It is an amenable number.

58077828 is an abundant number, since it is smaller than the sum of its proper divisors (90192840).

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

58077828 is a wasteful number, since it uses less digits than its factorization.

58077828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 58077828 is about 7620.8810514271. The cubic root of 58077828 is about 387.2607260953.

The spelling of 58077828 in words is "fifty-eight million, seventy-seven thousand, eight hundred twenty-eight".