30028137600 has 768 divisors, whose sum is σ = 110152949760. Its totient is φ = 7163904000.

The previous prime is 30028137599. The next prime is 30028137617. The reversal of 30028137600 is 673182003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280636747 + ... + 280636853.

It is an arithmetic number, because the mean of its divisors is an integer number (143428320).

Almost surely, 2^30028137600 is an apocalyptic number.

30028137600 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 30028137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076474880).

30028137600 is an abundant number, since it is smaller than the sum of its proper divisors (80124812160).

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

30028137600 is a wasteful number, since it uses less digits than its factorization.

30028137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 30028137600 in words is "thirty billion, twenty-eight million, one hundred thirty-seven thousand, six hundred".