387428832 has 240 divisors, whose sum is σ = 1320181632. Its totient is φ = 109175040.

The previous prime is 387428831. The next prime is 387428843. The reversal of 387428832 is 238824783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387428831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2376783 + ... + 2376945.

Almost surely, 2^387428832 is an apocalyptic number.

387428832 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 387428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660090816).

387428832 is an abundant number, since it is smaller than the sum of its proper divisors (932752800).

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

387428832 is a wasteful number, since it uses less digits than its factorization.

387428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 387428832 is about 19683.2119330154. The cubic root of 387428832 is about 729.0052329046.

It can be divided in two parts, 38742 and 8832, that added together give a palindrome (47574).

The spelling of 387428832 in words is "three hundred eighty-seven million, four hundred twenty-eight thousand, eight hundred thirty-two".