382319028 has 120 divisors (see below), whose sum is σ = 1230196352. Its totient is φ = 100823616.

The previous prime is 382319027. The next prime is 382319029. The reversal of 382319028 is 820913283.

It is a happy number.

382319028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (382319027) and next prime (382319029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382318983 and 382319001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382319023) 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, 23001 + ... + 35967.

Almost surely, 2^382319028 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 382319028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615098176).

382319028 is an abundant number, since it is smaller than the sum of its proper divisors (847877324).

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

382319028 is a wasteful number, since it uses less digits than its factorization.

382319028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 12992 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 382319028 is about 19552.9800286299. The cubic root of 382319028 is about 725.7860854638.

The spelling of 382319028 in words is "three hundred eighty-two million, three hundred nineteen thousand, twenty-eight".