428828825 has 24 divisors (see below), whose sum is σ = 564171480. Its totient is φ = 322227200.

The previous prime is 428828819. The next prime is 428828831. The reversal of 428828825 is 528828824.

It is an interprime number because it is at equal distance from previous prime (428828819) and next prime (428828831).

It can be written as a sum of positive squares in 12 ways, for example, as 12138256 + 416690569 = 3484^2 + 20413^2 .

It is not a de Polignac number, because 428828825 - 2¹⁴ = 428812441 is a prime.

It is a super-2 number, since 2×428828825² = 367788322301761250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428828825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348311 + ... + 349539.

It is an arithmetic number, because the mean of its divisors is an integer number (23507145).

Almost surely, 2^428828825 is an apocalyptic number.

It is an amenable number.

428828825 is a deficient number, since it is larger than the sum of its proper divisors (135342655).

428828825 is a wasteful number, since it uses less digits than its factorization.

428828825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2072 counting only the distinct ones).

The product of its digits is 655360, while the sum is 47.

The square root of 428828825 is about 20708.1825614900. The cubic root of 428828825 is about 754.0983491052.

Subtracting 428828825 from its reverse (528828824), we obtain a palindrome (99999999).

The spelling of 428828825 in words is "four hundred twenty-eight million, eight hundred twenty-eight thousand, eight hundred twenty-five".