128272800 has 288 divisors, whose sum is σ = 459345600. Its totient is φ = 30965760.

The previous prime is 128272783. The next prime is 128272811. The reversal of 128272800 is 8272821.

It is a happy number.

It is a super-2 number, since 2×128272800² = 32907822439680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1322352 + ... + 1322448.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 2^128272800 is an apocalyptic number.

128272800 is a gapful number since it is divisible by the number (10) 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 128272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229672800).

128272800 is an abundant number, since it is smaller than the sum of its proper divisors (331072800).

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

128272800 is a wasteful number, since it uses less digits than its factorization.

128272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 128272800 is about 11325.7582527617. The cubic root of 128272800 is about 504.3261934749.

The spelling of 128272800 in words is "one hundred twenty-eight million, two hundred seventy-two thousand, eight hundred".