128692872 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 32987520.

The previous prime is 128692867. The next prime is 128692877. The reversal of 128692872 is 278296821.

It is an interprime number because it is at equal distance from previous prime (128692867) and next prime (128692877).

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

Its product of digits (193536) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128692877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770533 + ... + 770699.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^128692872 is an apocalyptic number.

128692872 is a gapful number since it is divisible by the number (12) 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 128692872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

128692872 is an abundant number, since it is smaller than the sum of its proper divisors (311601528).

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

128692872 is a wasteful number, since it uses less digits than its factorization.

128692872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 128692872 is about 11344.2880781475. The cubic root of 128692872 is about 504.8761216259.

The spelling of 128692872 in words is "one hundred twenty-eight million, six hundred ninety-two thousand, eight hundred seventy-two".