84978737928 has 512 divisors, whose sum is σ = 290304000000. Its totient is φ = 22510109952.

The previous prime is 84978737887. The next prime is 84978737957. The reversal of 84978737928 is 82973787948.

84978737928 is a `hidden beast` number, since 8 + 497 + 87 + 37 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (341397504) is a multiple of the sum of its prime factors (686).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170297823 + ... + 170298321.

It is an arithmetic number, because the mean of its divisors is an integer number (567000000).

Almost surely, 2^84978737928 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 84978737928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000000).

84978737928 is an abundant number, since it is smaller than the sum of its proper divisors (205325262072).

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

84978737928 is a wasteful number, since it uses less digits than its factorization.

84978737928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 84978737928 in words is "eighty-four billion, nine hundred seventy-eight million, seven hundred thirty-seven thousand, nine hundred twenty-eight".