28420584561216 has 567 divisors, whose sum is σ = 89484510208041. Its totient is φ = 8954194139136.

The previous prime is 28420584561139. The next prime is 28420584561223. The reversal of 28420584561216 is 61216548502482.

The square root of 28420584561216 is 5331096.

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

28420584561216 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 0 + 5 + 8 + 4 + 5 + 612 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3187081857600 + 25233502703616 = 1785240^2 + 5023296^2 .

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 80 ways as a sum of consecutive naturals, for example, 65636453736 + ... + 65636454168.

Almost surely, 2^{28420584561216} is an apocalyptic number.

28420584561216 is the 5331096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28420584561216

28420584561216 is an abundant number, since it is smaller than the sum of its proper divisors (61063925646825).

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

28420584561216 is an frugal number, since it uses more digits than its factorization.

28420584561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 28420584561216 in words is "twenty-eight trillion, four hundred twenty billion, five hundred eighty-four million, five hundred sixty-one thousand, two hundred sixteen".