382688544 has 96 divisors (see below), whose sum is σ = 1151176320. Its totient is φ = 109043712.

The previous prime is 382688543. The next prime is 382688587. The reversal of 382688544 is 445886283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 382688493 and 382688502.

It is not an unprimeable number, because it can be changed into a prime (382688543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411472 + ... + 412400.

It is an arithmetic number, because the mean of its divisors is an integer number (11991420).

Almost surely, 2^382688544 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 382688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575588160).

382688544 is an abundant number, since it is smaller than the sum of its proper divisors (768487776).

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

382688544 is a wasteful number, since it uses less digits than its factorization.

382688544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 382688544 is about 19562.4268433137. The cubic root of 382688544 is about 726.0198372043.

The spelling of 382688544 in words is "three hundred eighty-two million, six hundred eighty-eight thousand, five hundred forty-four".