27452928400 has 90 divisors (see below), whose sum is σ = 66959145330. Its totient is φ = 10816565760.

The previous prime is 27452928353. The next prime is 27452928401. The reversal of 27452928400 is 482925472.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2620211344 + 24832717056 = 51188^2 + 157584^2 .

It is not an unprimeable number, because it can be changed into a prime (27452928401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1787956 + ... + 1803244.

Almost surely, 2^27452928400 is an apocalyptic number.

27452928400 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 27452928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33479572665).

27452928400 is an abundant number, since it is smaller than the sum of its proper divisors (39506216930).

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

27452928400 is a wasteful number, since it uses less digits than its factorization.

27452928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15441 (or 15363 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 27452928400 in words is "twenty-seven billion, four hundred fifty-two million, nine hundred twenty-eight thousand, four hundred".