28796415157440 has 1792 divisors, whose sum is σ = 124206594969600. Its totient is φ = 6228338614272.

The previous prime is 28796415157357. The next prime is 28796415157529. The reversal of 28796415157440 is 4475151469782.

It is a happy number.

28796415157440 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 6 + 4 + 1 + 51 + 574 + 4 + 0 = 666.

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

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, 33601417492 + ... + 33601418348.

Almost surely, 2^{28796415157440} is an apocalyptic number.

28796415157440 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 28796415157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62103297484800).

28796415157440 is an abundant number, since it is smaller than the sum of its proper divisors (95410179812160).

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

28796415157440 is an frugal number, since it uses more digits than its factorization.

28796415157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 28796415157440 in words is "twenty-eight trillion, seven hundred ninety-six billion, four hundred fifteen million, one hundred fifty-seven thousand, four hundred forty".