28547481600 has 567 divisors, whose sum is σ = 112405196449. Its totient is φ = 6920601600.

The previous prime is 28547481511. The next prime is 28547481629. The reversal of 28547481600 is 618474582.

The square root of 28547481600 is 168960.

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

28547481600 is a `hidden beast` number, since 2 + 8 + 547 + 48 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10277093376 + 18270388224 = 101376^2 + 135168^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2595225595 + ... + 2595225605.

Almost surely, 2^28547481600 is an apocalyptic number.

28547481600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28547481600 is the 168960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28547481600

28547481600 is an abundant number, since it is smaller than the sum of its proper divisors (83857714849).

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

28547481600 is an frugal number, since it uses more digits than its factorization.

28547481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28547481600 in words is "twenty-eight billion, five hundred forty-seven million, four hundred eighty-one thousand, six hundred".