30022828416 has 1024 divisors, whose sum is σ = 114892800000. Its totient is φ = 7681443840.

The previous prime is 30022828403. The next prime is 30022828471. The reversal of 30022828416 is 61482822003.

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

It is a congruent number.

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, 698205291 + ... + 698205333.

It is an arithmetic number, because the mean of its divisors is an integer number (112200000).

Almost surely, 2^30022828416 is an apocalyptic number.

30022828416 is a gapful number since it is divisible by the number (36) 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 30022828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57446400000).

30022828416 is an abundant number, since it is smaller than the sum of its proper divisors (84869971584).

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

30022828416 is a wasteful number, since it uses less digits than its factorization.

30022828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 30022828416 in words is "thirty billion, twenty-two million, eight hundred twenty-eight thousand, four hundred sixteen".