30146576928 has 144 divisors (see below), whose sum is σ = 89417079360. Its totient is φ = 8872461312.

The previous prime is 30146576927. The next prime is 30146576983. The reversal of 30146576928 is 82967564103.

It is a super-2 number, since 2×30146576928² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30146576923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332758 + ... + 413546.

It is an arithmetic number, because the mean of its divisors is an integer number (620951940).

It is a 1-persistent number, because it is pandigital, but 2⋅30146576928 = 60293153856 is not.

Almost surely, 2^30146576928 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 30146576928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44708539680).

30146576928 is an abundant number, since it is smaller than the sum of its proper divisors (59270502432).

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

30146576928 is a wasteful number, since it uses less digits than its factorization.

30146576928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80851 (or 80830 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 30146576928 in words is "thirty billion, one hundred forty-six million, five hundred seventy-six thousand, nine hundred twenty-eight".