28628278272 has 528 divisors, whose sum is σ = 96565996800. Its totient is φ = 8077639680.

The previous prime is 28628278193. The next prime is 28628278309. The reversal of 28628278272 is 27287282682.

28628278272 is a `hidden beast` number, since 2 + 8 + 628 + 2 + 7 + 8 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171426733 + ... + 171426899.

Almost surely, 2^28628278272 is an apocalyptic number.

28628278272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28628278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282998400).

28628278272 is an abundant number, since it is smaller than the sum of its proper divisors (67937718528).

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

28628278272 is a wasteful number, since it uses less digits than its factorization.

28628278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 28628278272 in words is "twenty-eight billion, six hundred twenty-eight million, two hundred seventy-eight thousand, two hundred seventy-two".