30782928960 has 588 divisors, whose sum is σ = 127893237228. Its totient is φ = 7033485312.

The previous prime is 30782928949. The next prime is 30782928971. The reversal of 30782928960 is 6982928703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30782928949) and next prime (30782928971).

It can be written as a sum of positive squares in 2 ways, for example, as 11851370496 + 18931558464 = 108864^2 + 137592^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30782928897 and 30782928906.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11429374 + ... + 11432066.

Almost surely, 2^30782928960 is an apocalyptic number.

30782928960 is a gapful number since it is divisible by the number (30) 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 30782928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63946618614).

30782928960 is an abundant number, since it is smaller than the sum of its proper divisors (97110308268).

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

30782928960 is an equidigital number, since it uses as much as digits as its factorization.

30782928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 30782928960 in words is "thirty billion, seven hundred eighty-two million, nine hundred twenty-eight thousand, nine hundred sixty".