128933100 has 216 divisors, whose sum is σ = 447315120. Its totient is φ = 31749120.

The previous prime is 128933099. The next prime is 128933137. The reversal of 128933100 is 1339821.

It is a super-2 number, since 2×128933100² = 33247488551220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2432674 + ... + 2432726.

Almost surely, 2^128933100 is an apocalyptic number.

128933100 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 128933100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223657560).

128933100 is an abundant number, since it is smaller than the sum of its proper divisors (318382020).

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

128933100 is a wasteful number, since it uses less digits than its factorization.

128933100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 128933100 is about 11354.8712013831. The cubic root of 128933100 is about 505.1900732078.

The spelling of 128933100 in words is "one hundred twenty-eight million, nine hundred thirty-three thousand, one hundred".