84493772928 has 192 divisors, whose sum is σ = 246802439520. Its totient is φ = 27743109120.

The previous prime is 84493772927. The next prime is 84493773017. The reversal of 84493772928 is 82927739448.

84493772928 is a `hidden beast` number, since 8 + 449 + 37 + 72 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (84493772921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25364223 + ... + 25367553.

Almost surely, 2^84493772928 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 84493772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123401219760).

84493772928 is an abundant number, since it is smaller than the sum of its proper divisors (162308666592).

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

84493772928 is a wasteful number, since it uses less digits than its factorization.

84493772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3660 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 84493772928 in words is "eighty-four billion, four hundred ninety-three million, seven hundred seventy-two thousand, nine hundred twenty-eight".