381292128 has 216 divisors, whose sum is σ = 1294052760. Its totient is φ = 106122240.

The previous prime is 381292103. The next prime is 381292199. The reversal of 381292128 is 821292183.

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 junction number, because it is equal to n+sod(n) for n = 381292092 and 381292101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578263 + ... + 578921.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2^381292128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647026380).

381292128 is an abundant number, since it is smaller than the sum of its proper divisors (912760632).

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

381292128 is a wasteful number, since it uses less digits than its factorization.

381292128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 381292128 is about 19526.7029475024. The cubic root of 381292128 is about 725.1356879607.

The spelling of 381292128 in words is "three hundred eighty-one million, two hundred ninety-two thousand, one hundred twenty-eight".