328902000 has 320 divisors, whose sum is σ = 1247920128. Its totient is φ = 72960000.

The previous prime is 328901987. The next prime is 328902019. The reversal of 328902000 is 209823.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721905 + ... + 1722095.

Almost surely, 2^328902000 is an apocalyptic number.

328902000 is a gapful number since it is divisible by the number (30) 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 328902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623960064).

328902000 is an abundant number, since it is smaller than the sum of its proper divisors (919018128).

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

328902000 is a wasteful number, since it uses less digits than its factorization.

328902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 328902000 is about 18135.6554885673. The cubic root of 328902000 is about 690.2750426289.

The spelling of 328902000 in words is "three hundred twenty-eight million, nine hundred two thousand".