82958885928 has 24 divisors (see below), whose sum is σ = 224680316250. Its totient is φ = 27652961952.

The previous prime is 82958885903. The next prime is 82958885953.

82958885928 is a `hidden beast` number, since 8 + 29 + 5 + 8 + 8 + 8 + 592 + 8 = 666.

82958885928 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82958885903) and next prime (82958885953).

It can be written as a sum of positive squares in only one way, i.e., 54316031364 + 28642854564 = 233058^2 + 169242^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1152206749 = 82958885928 / (8 + 2 + 9 + 5 + 8 + 8 + 8 + 5 + 9 + 2 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 576103303 + ... + 576103446.

Almost surely, 2^82958885928 is an apocalyptic number.

It is an amenable number.

82958885928 is an abundant number, since it is smaller than the sum of its proper divisors (141721430322).

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

82958885928 is a wasteful number, since it uses less digits than its factorization.

82958885928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152206761 (or 1152206754 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 72.

The spelling of 82958885928 in words is "eighty-two billion, nine hundred fifty-eight million, eight hundred eighty-five thousand, nine hundred twenty-eight".