82948788 has 54 divisors (see below), whose sum is σ = 226342662. Its totient is φ = 25462080.

The previous prime is 82948769. The next prime is 82948799. The reversal of 82948788 is 88784928.

82948788 is a `hidden beast` number, since 82 + 9 + 487 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20412324 + 62536464 = 4518^2 + 7908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196818 + ... + 197238.

Almost surely, 2^82948788 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 82948788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113171331).

82948788 is an abundant number, since it is smaller than the sum of its proper divisors (143393874).

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

82948788 is a wasteful number, since it uses less digits than its factorization.

82948788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 439 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 82948788 is about 9107.6225218220. The cubic root of 82948788 is about 436.1173336821.

The spelling of 82948788 in words is "eighty-two million, nine hundred forty-eight thousand, seven hundred eighty-eight".