82293032448 has 240 divisors, whose sum is σ = 264614777856. Its totient is φ = 24405995520.

The previous prime is 82293032429. The next prime is 82293032461. The reversal of 82293032448 is 84423039228.

82293032448 is a `hidden beast` number, since 82 + 29 + 303 + 244 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365065 + ... + 2399607.

Almost surely, 2^82293032448 is an apocalyptic number.

82293032448 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 82293032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132307388928).

82293032448 is an abundant number, since it is smaller than the sum of its proper divisors (182321745408).

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

82293032448 is a wasteful number, since it uses less digits than its factorization.

82293032448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34625 (or 34606 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 82293032448 in words is "eighty-two billion, two hundred ninety-three million, thirty-two thousand, four hundred forty-eight".