328875098400 has 180 divisors, whose sum is σ = 1199343772242. Its totient is φ = 87700008960.

The previous prime is 328875098353. The next prime is 328875098407. The reversal of 328875098400 is 4890578823.

It is a happy number.

328875098400 is a `hidden beast` number, since 3 + 2 + 88 + 75 + 0 + 98 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 126277886736 + 202597211664 = 355356^2 + 450108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (328875098407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2472817 + ... + 2602416.

Almost surely, 2^328875098400 is an apocalyptic number.

328875098400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328875098400 is an abundant number, since it is smaller than the sum of its proper divisors (870468673842).

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

328875098400 is a wasteful number, since it uses less digits than its factorization.

328875098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075265 (or 5075243 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 328875098400 in words is "three hundred twenty-eight billion, eight hundred seventy-five million, ninety-eight thousand, four hundred".