381128832 has 192 divisors, whose sum is σ = 1265746560. Its totient is φ = 107827200.

The previous prime is 381128827. The next prime is 381128863. The reversal of 381128832 is 238821183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1217508 + ... + 1217820.

It is an arithmetic number, because the mean of its divisors is an integer number (6592430).

Almost surely, 2^381128832 is an apocalyptic number.

381128832 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 381128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632873280).

381128832 is an abundant number, since it is smaller than the sum of its proper divisors (884617728).

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

381128832 is a wasteful number, since it uses less digits than its factorization.

381128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 381128832 is about 19522.5211486632. The cubic root of 381128832 is about 725.0321552128.

The spelling of 381128832 in words is "three hundred eighty-one million, one hundred twenty-eight thousand, eight hundred thirty-two".