210928830144 has 224 divisors, whose sum is σ = 619195104000. Its totient is φ = 63097122816.

The previous prime is 210928830139. The next prime is 210928830191. The reversal of 210928830144 is 441038829012.

It is a junction number, because it is equal to n+sod(n) for n = 210928830096 and 210928830105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588167 + ... + 5625785.

Almost surely, 2^210928830144 is an apocalyptic number.

210928830144 is a gapful number since it is divisible by the number (24) 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 210928830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309597552000).

210928830144 is an abundant number, since it is smaller than the sum of its proper divisors (408266273856).

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

210928830144 is a wasteful number, since it uses less digits than its factorization.

210928830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37735 (or 37725 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 210928830144 in words is "two hundred ten billion, nine hundred twenty-eight million, eight hundred thirty thousand, one hundred forty-four".