128772867384 has 864 divisors, whose sum is σ = 467119411200. Its totient is φ = 31345367040.

The previous prime is 128772867359. The next prime is 128772867397. The reversal of 128772867384 is 483768277821.

It is a happy number.

128772867384 is a `hidden beast` number, since 1 + 287 + 7 + 286 + 73 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1630036257 + ... + 1630036335.

Almost surely, 2^128772867384 is an apocalyptic number.

128772867384 is a gapful number since it is divisible by the number (14) 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 128772867384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233559705600).

128772867384 is an abundant number, since it is smaller than the sum of its proper divisors (338346543816).

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

128772867384 is a wasteful number, since it uses less digits than its factorization.

128772867384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 128772867384 in words is "one hundred twenty-eight billion, seven hundred seventy-two million, eight hundred sixty-seven thousand, three hundred eighty-four".