328177440 has 96 divisors (see below), whose sum is σ = 1148636160. Its totient is φ = 87512832.

The previous prime is 328177433. The next prime is 328177441. The reversal of 328177440 is 44771823.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 328177395 and 328177404.

It is not an unprimeable number, because it can be changed into a prime (328177441) 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, 33664 + ... + 42303.

It is an arithmetic number, because the mean of its divisors is an integer number (11964960).

Almost surely, 2^328177440 is an apocalyptic number.

328177440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328177440 is an abundant number, since it is smaller than the sum of its proper divisors (820458720).

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

328177440 is a wasteful number, since it uses less digits than its factorization.

328177440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75991 (or 75977 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 328177440 is about 18115.6683564256. The cubic root of 328177440 is about 689.7677857530.

The spelling of 328177440 in words is "three hundred twenty-eight million, one hundred seventy-seven thousand, four hundred forty".