27328298400 has 360 divisors, whose sum is σ = 107330528844. Its totient is φ = 6726758400.

The previous prime is 27328298369. The next prime is 27328298423. The reversal of 27328298400 is 489282372.

It can be written as a sum of positive squares in 6 ways, for example, as 12143158416 + 15185139984 = 110196^2 + 123228^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 826180 + ... + 858620.

Almost surely, 2^27328298400 is an apocalyptic number.

27328298400 is a gapful number since it is divisible by the number (20) 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 27328298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53665264422).

27328298400 is an abundant number, since it is smaller than the sum of its proper divisors (80002230444).

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

27328298400 is a wasteful number, since it uses less digits than its factorization.

27328298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32486 (or 32464 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27328298400 in words is "twenty-seven billion, three hundred twenty-eight million, two hundred ninety-eight thousand, four hundred".