328535312400 has 405 divisors, whose sum is σ = 1173631510597. Its totient is φ = 85105766400.

The previous prime is 328535312333. The next prime is 328535312407. The reversal of 328535312400 is 4213535823.

The square root of 328535312400 is 573180.

It is a perfect power (a square), and thus also a powerful number.

328535312400 is a `hidden beast` number, since 3 + 2 + 85 + 3 + 531 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 310199985936 + 18335326464 = 556956^2 + 135408^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (328535312407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1410022684 + ... + 1410022916.

Almost surely, 2^328535312400 is an apocalyptic number.

328535312400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

328535312400 is the 573180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328535312400

328535312400 is an abundant number, since it is smaller than the sum of its proper divisors (845096198197).

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

328535312400 is a wasteful number, since it uses less digits than its factorization.

328535312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 328535312400 by its sum of digits (36), we get a square (11827271246400 = 3439080²).

328535312400 divided by its sum of digits (36) gives a square (9125980900 = 95530²).

The spelling of 328535312400 in words is "three hundred twenty-eight billion, five hundred thirty-five million, three hundred twelve thousand, four hundred".