28403174338560 has 624 divisors, whose sum is σ = 113513242774464. Its totient is φ = 6434668412928.

The previous prime is 28403174338543. The next prime is 28403174338571. The reversal of 28403174338560 is 6583347130482.

It is a happy number.

28403174338560 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 3 + 1 + 7 + 43 + 38 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28403174338497 and 28403174338506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145699714 + ... + 145894526.

It is an arithmetic number, because the mean of its divisors is an integer number (181912248036).

Almost surely, 2^{28403174338560} is an apocalyptic number.

28403174338560 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 28403174338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56756621387232).

28403174338560 is an abundant number, since it is smaller than the sum of its proper divisors (85110068435904).

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

28403174338560 is a wasteful number, since it uses less digits than its factorization.

28403174338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194968 (or 194943 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 28403174338560 in words is "twenty-eight trillion, four hundred three billion, one hundred seventy-four million, three hundred thirty-eight thousand, five hundred sixty".