387826992 has 120 divisors (see below), whose sum is σ = 1258133760. Its totient is φ = 109226880.

The previous prime is 387826981. The next prime is 387827017. The reversal of 387826992 is 299628783.

It is a happy number.

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

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, 68859 + ... + 74277.

It is an arithmetic number, because the mean of its divisors is an integer number (10484448).

Almost surely, 2^387826992 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 387826992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629066880).

387826992 is an abundant number, since it is smaller than the sum of its proper divisors (870306768).

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

387826992 is a wasteful number, since it uses less digits than its factorization.

387826992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5502 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 387826992 is about 19693.3235387021. The cubic root of 387826992 is about 729.2548799131.

The spelling of 387826992 in words is "three hundred eighty-seven million, eight hundred twenty-six thousand, nine hundred ninety-two".