28294812123552 has 216 divisors, whose sum is σ = 90355980091104. Its totient is φ = 8706095633664.

The previous prime is 28294812123509. The next prime is 28294812123569. The reversal of 28294812123552 is 25532121849282.

28294812123552 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 4 + 81 + 2 + 1 + 2 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9451348 + ... + 12079635.

It is an arithmetic number, because the mean of its divisors is an integer number (418314722644).

Almost surely, 2^{28294812123552} is an apocalyptic number.

It is an amenable number.

28294812123552 is an abundant number, since it is smaller than the sum of its proper divisors (62061167967552).

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

28294812123552 is a wasteful number, since it uses less digits than its factorization.

28294812123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21531034 (or 21531001 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28294812123552 in words is "twenty-eight trillion, two hundred ninety-four billion, eight hundred twelve million, one hundred twenty-three thousand, five hundred fifty-two".