28292612544 has 252 divisors, whose sum is σ = 95537426400. Its totient is φ = 7980650496.

The previous prime is 28292612539. The next prime is 28292612567. The reversal of 28292612544 is 44521629282.

28292612544 is a `hidden beast` number, since 2 + 8 + 2 + 92 + 6 + 12 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 28292612544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2223352 + ... + 2236040.

Almost surely, 2^28292612544 is an apocalyptic number.

28292612544 is a gapful number since it is divisible by the number (24) 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 28292612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47768713200).

28292612544 is an abundant number, since it is smaller than the sum of its proper divisors (67244813856).

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

28292612544 is a wasteful number, since it uses less digits than its factorization.

28292612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12780 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 28292612544 in words is "twenty-eight billion, two hundred ninety-two million, six hundred twelve thousand, five hundred forty-four".