58872768 has 84 divisors (see below), whose sum is σ = 165625272. Its totient is φ = 18452480.

The previous prime is 58872767. The next prime is 58872797. The reversal of 58872768 is 86727885.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 58872768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58872763) 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, 54958 + ... + 56018.

Almost surely, 2^58872768 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 58872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82812636).

58872768 is an abundant number, since it is smaller than the sum of its proper divisors (106752504).

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

58872768 is a wasteful number, since it uses less digits than its factorization.

58872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1083 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 58872768 is about 7672.8591802535. The cubic root of 58872768 is about 389.0196019314.

The spelling of 58872768 in words is "fifty-eight million, eight hundred seventy-two thousand, seven hundred sixty-eight".