389878272 has 400 divisors, whose sum is σ = 1425980160. Its totient is φ = 103514112.

The previous prime is 389878261. The next prime is 389878319. The reversal of 389878272 is 272878983.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2709504) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4935129 + ... + 4935207.

Almost surely, 2^389878272 is an apocalyptic number.

389878272 is a gapful number since it is divisible by the number (32) 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 389878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

389878272 is an abundant number, since it is smaller than the sum of its proper divisors (1036101888).

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

389878272 is an equidigital number, since it uses as much as digits as its factorization.

389878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 389878272 is about 19745.3354491637. The cubic root of 389878272 is about 730.5383356293.

The spelling of 389878272 in words is "three hundred eighty-nine million, eight hundred seventy-eight thousand, two hundred seventy-two".