30628316160 has 1320 divisors, whose sum is σ = 130540956480. Its totient is φ = 6831931392.

The previous prime is 30628316153. The next prime is 30628316161. The reversal of 30628316160 is 6161382603.

30628316160 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 8 + 31 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30628316161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1331665909 + ... + 1331665931.

It is an arithmetic number, because the mean of its divisors is an integer number (98894664).

Almost surely, 2^30628316160 is an apocalyptic number.

30628316160 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 30628316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65270478240).

30628316160 is an abundant number, since it is smaller than the sum of its proper divisors (99912640320).

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

30628316160 is a wasteful number, since it uses less digits than its factorization.

30628316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 30628316160 its reverse (6161382603), we get a palindrome (36789698763).

The spelling of 30628316160 in words is "thirty billion, six hundred twenty-eight million, three hundred sixteen thousand, one hundred sixty".