928457509225 has 27 divisors (see below), whose sum is σ = 1163195074839. Its totient is φ = 735161552400.

The previous prime is 928457509201. The next prime is 928457509237. The reversal of 928457509225 is 522905754829.

The square root of 928457509225 is 963565.

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

It can be written as a sum of positive squares in only one way, i.e., 334244703321 + 594212805904 = 578139^2 + 770852^2 .

It is not a de Polignac number, because 928457509225 - 2¹³ = 928457501033 is a prime.

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 928457509225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496235040 + ... + 496236910.

Almost surely, 2^928457509225 is an apocalyptic number.

928457509225 is the 963565-th square number.

928457509225 is the 481783-rd centered octagonal number.

It is an amenable number.

928457509225 is a deficient number, since it is larger than the sum of its proper divisors (234737565614).

928457509225 is an frugal number, since it uses more digits than its factorization.

928457509225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 928457509225 in words is "nine hundred twenty-eight billion, four hundred fifty-seven million, five hundred nine thousand, two hundred twenty-five".