2113516728 has 96 divisors (see below), whose sum is σ = 5805596160. Its totient is φ = 694552320.

The previous prime is 2113516709. The next prime is 2113516747. The reversal of 2113516728 is 8276153112.

2113516728 is a `hidden beast` number, since 2 + 113 + 516 + 7 + 28 = 666.

It is a Cunningham number, because it is equal to 45973²-1.

It is an interprime number because it is at equal distance from previous prime (2113516709) and next prime (2113516747).

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

It is a junction number, because it is equal to n+sod(n) for n = 2113516692 and 2113516701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654426 + ... + 1655702.

It is an arithmetic number, because the mean of its divisors is an integer number (60474960).

Almost surely, 2^2113516728 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 2113516728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902798080).

2113516728 is an abundant number, since it is smaller than the sum of its proper divisors (3692079432).

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

2113516728 is a wasteful number, since it uses less digits than its factorization.

2113516728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2113516728 is about 45972.9999891241. Note that the first 4 decimals coincide. The cubic root of 2113516728 is about 1283.3207896377.

The spelling of 2113516728 in words is "two billion, one hundred thirteen million, five hundred sixteen thousand, seven hundred twenty-eight".