30479828190 has 192 divisors, whose sum is σ = 91246694400. Its totient is φ = 6473585664.

The previous prime is 30479828167. The next prime is 30479828219. The reversal of 30479828190 is 9182897403.

It is a super-2 number, since 2×30479828190² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966491 + ... + 1981929.

It is an arithmetic number, because the mean of its divisors is an integer number (475243200).

Almost surely, 2^30479828190 is an apocalyptic number.

30479828190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30479828190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45623347200).

30479828190 is an abundant number, since it is smaller than the sum of its proper divisors (60766866210).

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

30479828190 is a wasteful number, since it uses less digits than its factorization.

30479828190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 30479828190 in words is "thirty billion, four hundred seventy-nine million, eight hundred twenty-eight thousand, one hundred ninety".