689228928 has 96 divisors (see below), whose sum is σ = 1994052060. Its totient is φ = 228501504.

The previous prime is 689228927. The next prime is 689228951. The reversal of 689228928 is 829822986.

It can be written as a sum of positive squares in 2 ways, for example, as 523128384 + 166100544 = 22872^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (689228927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225426 + ... + 228462.

Almost surely, 2^689228928 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 689228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997026030).

689228928 is an abundant number, since it is smaller than the sum of its proper divisors (1304823132).

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

689228928 is a wasteful number, since it uses less digits than its factorization.

689228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3239 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 689228928 is about 26253.1698657514. The cubic root of 689228928 is about 883.3263091250.

The spelling of 689228928 in words is "six hundred eighty-nine million, two hundred twenty-eight thousand, nine hundred twenty-eight".