28346349717504 has 2304 divisors, whose sum is σ = 109964641812480. Its totient is φ = 7094697984000.

The previous prime is 28346349717467. The next prime is 28346349717601. The reversal of 28346349717504 is 40571794364382.

28346349717504 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 6 + 34 + 97 + 1 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 85638518619 + ... + 85638518949.

It is an arithmetic number, because the mean of its divisors is an integer number (47727709120).

It is a 1-persistent number, because it is pandigital, but 2⋅28346349717504 = 56692699435008 is not.

Almost surely, 2^{28346349717504} is an apocalyptic number.

28346349717504 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 28346349717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54982320906240).

28346349717504 is an abundant number, since it is smaller than the sum of its proper divisors (81618292094976).

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

28346349717504 is a wasteful number, since it uses less digits than its factorization.

28346349717504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 28346349717504 in words is "twenty-eight trillion, three hundred forty-six billion, three hundred forty-nine million, seven hundred seventeen thousand, five hundred four".