28614428964 has 135 divisors (see below), whose sum is σ = 79906455265. Its totient is φ = 8633824320.

The previous prime is 28614428957. The next prime is 28614428971. The reversal of 28614428964 is 46982441682.

It is a happy number.

The square root of 28614428964 is 169158.

It is a perfect power (a square), and thus also a powerful number.

28614428964 is a `hidden beast` number, since 2 + 8 + 61 + 442 + 89 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (28614428957) and next prime (28614428971).

It can be written as a sum of positive squares in only one way, i.e., 5811012900 + 22803416064 = 76230^2 + 151008^2 .

It is a super-2 number, since 2×28614428964² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28614428964.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122808592 + ... + 122808824.

Almost surely, 2^28614428964 is an apocalyptic number.

28614428964 is the 169158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28614428964

28614428964 is an abundant number, since it is smaller than the sum of its proper divisors (51292026301).

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

28614428964 is an equidigital number, since it uses as much as digits as its factorization.

28614428964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 249 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 28614428964 in words is "twenty-eight billion, six hundred fourteen million, four hundred twenty-eight thousand, nine hundred sixty-four".