83128982400 has 768 divisors, whose sum is σ = 324800640000. Its totient is φ = 20702822400.

The previous prime is 83128982371. The next prime is 83128982411. The reversal of 83128982400 is 428982138.

83128982400 is a `hidden beast` number, since 8 + 312 + 8 + 98 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 129686080 + ... + 129686720.

It is an arithmetic number, because the mean of its divisors is an integer number (422917500).

Almost surely, 2^83128982400 is an apocalyptic number.

83128982400 is a gapful number since it is divisible by the number (80) 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 83128982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162400320000).

83128982400 is an abundant number, since it is smaller than the sum of its proper divisors (241671657600).

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

83128982400 is a wasteful number, since it uses less digits than its factorization.

83128982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 83128982400 in words is "eighty-three billion, one hundred twenty-eight million, nine hundred eighty-two thousand, four hundred".