428023435225 has 27 divisors (see below), whose sum is σ = 554925955773. Its totient is φ = 327473403840.

The previous prime is 428023435201. The next prime is 428023435253. The reversal of 428023435225 is 522534320824.

The square root of 428023435225 is 654235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 74697809481 + 353325625744 = 273309^2 + 594412^2 .

It is not a de Polignac number, because 428023435225 - 2⁷ = 428023435097 is a prime.

It is a super-2 number, since 2×428023435225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75234181 + ... + 75239869.

Almost surely, 2^428023435225 is an apocalyptic number.

428023435225 is the 654235-th square number.

428023435225 is the 327118-th centered octagonal number.

It is an amenable number.

428023435225 is a deficient number, since it is larger than the sum of its proper divisors (126902520548).

428023435225 is an frugal number, since it uses more digits than its factorization.

428023435225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 428023435225 in words is "four hundred twenty-eight billion, twenty-three million, four hundred thirty-five thousand, two hundred twenty-five".