28842813502272 has 1120 divisors, whose sum is σ = 113819270805504. Its totient is φ = 6999171379200.

The previous prime is 28842813502267. The next prime is 28842813502297. The reversal of 28842813502272 is 27220531824882.

28842813502272 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 281 + 350 + 2 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 394740622 + ... + 394813682.

Almost surely, 2^{28842813502272} is an apocalyptic number.

28842813502272 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 28842813502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56909635402752).

28842813502272 is an abundant number, since it is smaller than the sum of its proper divisors (84976457303232).

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

28842813502272 is a wasteful number, since it uses less digits than its factorization.

28842813502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73169 (or 73150 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 28842813502272 in words is "twenty-eight trillion, eight hundred forty-two billion, eight hundred thirteen million, five hundred two thousand, two hundred seventy-two".