30728078524416 has 2048 divisors, whose sum is σ = 113101942947840. Its totient is φ = 7191587192832.

The previous prime is 30728078524397. The next prime is 30728078524441. The reversal of 30728078524416 is 61442587082703.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241953374145 + ... + 241953374271.

It is an arithmetic number, because the mean of its divisors is an integer number (55225558080).

Almost surely, 2^{30728078524416} 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 30728078524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56550971473920).

30728078524416 is an abundant number, since it is smaller than the sum of its proper divisors (82373864423424).

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

30728078524416 is a wasteful number, since it uses less digits than its factorization.

30728078524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 30728078524416 in words is "thirty trillion, seven hundred twenty-eight billion, seventy-eight million, five hundred twenty-four thousand, four hundred sixteen".