2100070728 has 192 divisors, whose sum is σ = 6853766400. Its totient is φ = 568189440.

The previous prime is 2100070723. The next prime is 2100070771. The reversal of 2100070728 is 8270700012.

It is not an unprimeable number, because it can be changed into a prime (2100070723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773293 + ... + 776003.

It is an arithmetic number, because the mean of its divisors is an integer number (35696700).

Almost surely, 2^2100070728 is an apocalyptic number.

2100070728 is a gapful number since it is divisible by the number (28) 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 2100070728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426883200).

2100070728 is an abundant number, since it is smaller than the sum of its proper divisors (4753695672).

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

2100070728 is a wasteful number, since it uses less digits than its factorization.

2100070728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2100070728 is about 45826.5286488078. The cubic root of 2100070728 is about 1280.5935414615.

The spelling of 2100070728 in words is "two billion, one hundred million, seventy thousand, seven hundred twenty-eight".