28249184478816 has 480 divisors, whose sum is σ = 100558054884672. Its totient is φ = 7594591518720.

The previous prime is 28249184478793. The next prime is 28249184478869. The reversal of 28249184478816 is 61887448194282.

28249184478816 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 91 + 8 + 447 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1714037296 + ... + 1714053776.

Almost surely, 2^{28249184478816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28249184478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279027442336).

28249184478816 is an abundant number, since it is smaller than the sum of its proper divisors (72308870405856).

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

28249184478816 is a wasteful number, since it uses less digits than its factorization.

28249184478816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22084 (or 22067 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 28249184478816 in words is "twenty-eight trillion, two hundred forty-nine billion, one hundred eighty-four million, four hundred seventy-eight thousand, eight hundred sixteen".