28470487824 has 225 divisors, whose sum is σ = 85143810213. Its totient is φ = 9184420224.

The previous prime is 28470487817. The next prime is 28470487861. The reversal of 28470487824 is 42878407482.

The square root of 28470487824 is 168732.

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

28470487824 is a `hidden beast` number, since 2 + 84 + 7 + 0 + 487 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19843793424 + 8626694400 = 140868^2 + 92880^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 261197082 + ... + 261197190.

Almost surely, 2^28470487824 is an apocalyptic number.

28470487824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28470487824 is the 168732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28470487824

28470487824 is an abundant number, since it is smaller than the sum of its proper divisors (56673322389).

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

28470487824 is an equidigital number, since it uses as much as digits as its factorization.

28470487824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 28470487824 in words is "twenty-eight billion, four hundred seventy million, four hundred eighty-seven thousand, eight hundred twenty-four".