128891879424 has 864 divisors, whose sum is σ = 490899467520. Its totient is φ = 32699842560.

The previous prime is 128891879399. The next prime is 128891879461. The reversal of 128891879424 is 424978198821.

128891879424 is a `hidden beast` number, since 1 + 28 + 8 + 9 + 187 + 9 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×128891879424² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2997485547 + ... + 2997485589.

It is an arithmetic number, because the mean of its divisors is an integer number (568170680).

Almost surely, 2^128891879424 is an apocalyptic number.

128891879424 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 128891879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245449733760).

128891879424 is an abundant number, since it is smaller than the sum of its proper divisors (362007588096).

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

128891879424 is an frugal number, since it uses more digits than its factorization.

128891879424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 128891879424 in words is "one hundred twenty-eight billion, eight hundred ninety-one million, eight hundred seventy-nine thousand, four hundred twenty-four".