28599766272 has 432 divisors, whose sum is σ = 105610307712. Its totient is φ = 7226081280.

The previous prime is 28599766271. The next prime is 28599766289. The reversal of 28599766272 is 27266799582.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28599766271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6561918 + ... + 6566274.

Almost surely, 2^28599766272 is an apocalyptic number.

28599766272 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 28599766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52805153856).

28599766272 is an abundant number, since it is smaller than the sum of its proper divisors (77010541440).

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

28599766272 is a wasteful number, since it uses less digits than its factorization.

28599766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4417 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 28599766272 in words is "twenty-eight billion, five hundred ninety-nine million, seven hundred sixty-six thousand, two hundred seventy-two".