82992448 has 84 divisors (see below), whose sum is σ = 207016096. Its totient is φ = 32313600.

The previous prime is 82992439. The next prime is 82992463. The reversal of 82992448 is 84429928.

It is a junction number, because it is equal to n+sod(n) for n = 82992398 and 82992407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53443 + ... + 54973.

Almost surely, 2^82992448 is an apocalyptic number.

82992448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103508048).

82992448 is an abundant number, since it is smaller than the sum of its proper divisors (124023648).

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

82992448 is a wasteful number, since it uses less digits than its factorization.

82992448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1551 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 82992448 is about 9110.0190998702. The cubic root of 82992448 is about 436.1938368817.

The spelling of 82992448 in words is "eighty-two million, nine hundred ninety-two thousand, four hundred forty-eight".