28271893210704 has 1280 divisors, whose sum is σ = 100257903083520. Its totient is φ = 7510745088000.

The previous prime is 28271893210681. The next prime is 28271893210723. The reversal of 28271893210704 is 40701239817282.

28271893210704 is a `hidden beast` number, since 2 + 8 + 271 + 8 + 93 + 210 + 70 + 4 = 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 255 ways as a sum of consecutive naturals, for example, 45821544604 + ... + 45821545220.

It is an arithmetic number, because the mean of its divisors is an integer number (78326486784).

Almost surely, 2^{28271893210704} is an apocalyptic number.

28271893210704 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 28271893210704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50128951541760).

28271893210704 is an abundant number, since it is smaller than the sum of its proper divisors (71986009872816).

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

28271893210704 is a wasteful number, since it uses less digits than its factorization.

28271893210704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 28271893210704 in words is "twenty-eight trillion, two hundred seventy-one billion, eight hundred ninety-three million, two hundred ten thousand, seven hundred four".