58152920 has 128 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 17750016.

The previous prime is 58152911. The next prime is 58152929. The reversal of 58152920 is 2925185.

58152920 = T₄₉₁ + T₄₉₂ + ... + T₇₇₅.

It is an interprime number because it is at equal distance from previous prime (58152911) and next prime (58152929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58152929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90119 + ... + 90761.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 2^58152920 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 58152920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

58152920 is an abundant number, since it is smaller than the sum of its proper divisors (108771880).

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

58152920 is a wasteful number, since it uses less digits than its factorization.

58152920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 58152920 is about 7625.8061868894. The cubic root of 58152920 is about 387.4275577378.

The spelling of 58152920 in words is "fifty-eight million, one hundred fifty-two thousand, nine hundred twenty".