28893346272 has 288 divisors, whose sum is σ = 99384516000. Its totient is φ = 8141285376.

The previous prime is 28893346243. The next prime is 28893346291. The reversal of 28893346272 is 27264339882.

28893346272 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 3 + 3 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3085854 + ... + 3095202.

It is an arithmetic number, because the mean of its divisors is an integer number (345085125).

Almost surely, 2^28893346272 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 28893346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49692258000).

28893346272 is an abundant number, since it is smaller than the sum of its proper divisors (70491169728).

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

28893346272 is a wasteful number, since it uses less digits than its factorization.

28893346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9434 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 28893346272 in words is "twenty-eight billion, eight hundred ninety-three million, three hundred forty-six thousand, two hundred seventy-two".