28571479683264 has 672 divisors, whose sum is σ = 99320745914880. Its totient is φ = 7889589319680.

The previous prime is 28571479683193. The next prime is 28571479683337. The reversal of 28571479683264 is 46238697417582.

28571479683264 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 1 + 479 + 68 + 32 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28571479683192 and 28571479683201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14379203679 + ... + 14379205665.

It is an arithmetic number, because the mean of its divisors is an integer number (147798729040).

Almost surely, 2^{28571479683264} is an apocalyptic number.

28571479683264 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 28571479683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49660372957440).

28571479683264 is an abundant number, since it is smaller than the sum of its proper divisors (70749266231616).

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

28571479683264 is a wasteful number, since it uses less digits than its factorization.

28571479683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3267 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 28571479683264 in words is "twenty-eight trillion, five hundred seventy-one billion, four hundred seventy-nine million, six hundred eighty-three thousand, two hundred sixty-four".