381432828 has 96 divisors (see below), whose sum is σ = 1117347840. Its totient is φ = 98746560.

The previous prime is 381432823. The next prime is 381432829. The reversal of 381432828 is 828234183.

It is a super-3 number, since 3×381432828³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381432823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31513 + ... + 41903.

It is an arithmetic number, because the mean of its divisors is an integer number (11639040).

Almost surely, 2^381432828 is an apocalyptic number.

381432828 is a gapful number since it is divisible by the number (38) 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 381432828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558673920).

381432828 is an abundant number, since it is smaller than the sum of its proper divisors (735915012).

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

381432828 is a wasteful number, since it uses less digits than its factorization.

381432828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10447 (or 10445 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 381432828 is about 19530.3053739566. The cubic root of 381432828 is about 725.2248707131.

The spelling of 381432828 in words is "three hundred eighty-one million, four hundred thirty-two thousand, eight hundred twenty-eight".