28295804733840 has 1440 divisors, whose sum is σ = 118084442112000. Its totient is φ = 6169061606400.

The previous prime is 28295804733827. The next prime is 28295804733883. The reversal of 28295804733840 is 4833740859282.

28295804733840 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 5 + 80 + 473 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×28295804733840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8086824411 + ... + 8086827909.

It is an arithmetic number, because the mean of its divisors is an integer number (82003084800).

Almost surely, 2^{28295804733840} is an apocalyptic number.

28295804733840 is a gapful number since it is divisible by the number (20) 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 28295804733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59042221056000).

28295804733840 is an abundant number, since it is smaller than the sum of its proper divisors (89788637378160).

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

28295804733840 is an equidigital number, since it uses as much as digits as its factorization.

28295804733840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 28295804733840 in words is "twenty-eight trillion, two hundred ninety-five billion, eight hundred four million, seven hundred thirty-three thousand, eight hundred forty".