375647328 has 288 divisors, whose sum is σ = 1344470400. Its totient is φ = 101461248.

The previous prime is 375647303. The next prime is 375647329. The reversal of 375647328 is 823746573.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×375647328² = 282221830067079168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375647329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804151 + ... + 804617.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^375647328 is an apocalyptic number.

375647328 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 375647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

375647328 is an abundant number, since it is smaller than the sum of its proper divisors (968823072).

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

375647328 is a wasteful number, since it uses less digits than its factorization.

375647328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 375647328 is about 19381.6234614131. The cubic root of 375647328 is about 721.5394837509.

The spelling of 375647328 in words is "three hundred seventy-five million, six hundred forty-seven thousand, three hundred twenty-eight".