2689687728 has 480 divisors, whose sum is σ = 10093401600. Its totient is φ = 669606912.

The previous prime is 2689687681. The next prime is 2689687771. The reversal of 2689687728 is 8277869862.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 9709926 + ... + 9710202.

It is an arithmetic number, because the mean of its divisors is an integer number (21027920).

Almost surely, 2^2689687728 is an apocalyptic number.

2689687728 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 2689687728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046700800).

2689687728 is an abundant number, since it is smaller than the sum of its proper divisors (7403713872).

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

2689687728 is a wasteful number, since it uses less digits than its factorization.

2689687728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 2689687728 is about 51862.1994134456. The cubic root of 2689687728 is about 1390.7015984356.

The spelling of 2689687728 in words is "two billion, six hundred eighty-nine million, six hundred eighty-seven thousand, seven hundred twenty-eight".