16428830625 has 45 divisors (see below), whose sum is σ = 29671035823. Its totient is φ = 8756916000.

The previous prime is 16428830531. The next prime is 16428830669. The reversal of 16428830625 is 52603882461.

The square root of 16428830625 is 128175.

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

16428830625 is a `hidden beast` number, since 1 + 64 + 288 + 306 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 15987326481 + 441504144 = 126441^2 + 21012^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 16428830625 - 2⁷ = 16428830497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 9612271 + ... + 9613979.

Almost surely, 2^16428830625 is an apocalyptic number.

16428830625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16428830625 is the 128175-th square number.

16428830625 is the 64088-th centered octagonal number.

It is an amenable number.

16428830625 is a deficient number, since it is larger than the sum of its proper divisors (13242205198).

16428830625 is an frugal number, since it uses more digits than its factorization.

16428830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16428830625 in words is "sixteen billion, four hundred twenty-eight million, eight hundred thirty thousand, six hundred twenty-five".