28915312447296 has 1120 divisors, whose sum is σ = 97499286669312. Its totient is φ = 8396333199360.

The previous prime is 28915312447279. The next prime is 28915312447313. The reversal of 28915312447296 is 69274421351982.

It is a happy number.

28915312447296 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 53 + 1 + 24 + 472 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (28915312447279) and next prime (28915312447313).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59374357965 + ... + 59374358451.

Almost surely, 2^{28915312447296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28915312447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48749643334656).

28915312447296 is an abundant number, since it is smaller than the sum of its proper divisors (68583974222016).

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

28915312447296 is a wasteful number, since it uses less digits than its factorization.

28915312447296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 28915312447296 in words is "twenty-eight trillion, nine hundred fifteen billion, three hundred twelve million, four hundred forty-seven thousand, two hundred ninety-six".