28972146519360 has 1792 divisors, whose sum is σ = 118737564180480. Its totient is φ = 6581621882880.

The previous prime is 28972146519299. The next prime is 28972146519401. The reversal of 28972146519360 is 6391564127982.

28972146519360 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 21 + 465 + 1 + 93 + 60 = 666.

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, 22687663042 + ... + 22687664318.

It is an arithmetic number, because the mean of its divisors is an integer number (66259801440).

It is a 1-persistent number, because it is pandigital, but 2⋅28972146519360 = 57944293038720 is not.

Almost surely, 2^{28972146519360} is an apocalyptic number.

28972146519360 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 28972146519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59368782090240).

28972146519360 is an abundant number, since it is smaller than the sum of its proper divisors (89765417661120).

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

28972146519360 is a wasteful number, since it uses less digits than its factorization.

28972146519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 28972146519360 in words is "twenty-eight trillion, nine hundred seventy-two billion, one hundred forty-six million, five hundred nineteen thousand, three hundred sixty".