82434488928 has 576 divisors, whose sum is σ = 268728606720. Its totient is φ = 21970206720.

The previous prime is 82434488867. The next prime is 82434488963. The reversal of 82434488928 is 82988443428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476499850 + ... + 476500022.

It is an arithmetic number, because the mean of its divisors is an integer number (466542720).

Almost surely, 2^82434488928 is an apocalyptic number.

82434488928 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 82434488928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134364303360).

82434488928 is an abundant number, since it is smaller than the sum of its proper divisors (186294117792).

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

82434488928 is a wasteful number, since it uses less digits than its factorization.

82434488928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The spelling of 82434488928 in words is "eighty-two billion, four hundred thirty-four million, four hundred eighty-eight thousand, nine hundred twenty-eight".