828088425 has 36 divisors (see below), whose sum is σ = 1485517644. Its totient is φ = 440956800.

The previous prime is 828088409. The next prime is 828088447. The reversal of 828088425 is 524880828.

It can be written as a sum of positive squares in 6 ways, for example, as 133818624 + 694269801 = 11568^2 + 26349^2 .

It is not a de Polignac number, because 828088425 - 2⁴ = 828088409 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162415 + ... + 167435.

It is an arithmetic number, because the mean of its divisors is an integer number (41264379).

Almost surely, 2^828088425 is an apocalyptic number.

It is an amenable number.

828088425 is a deficient number, since it is larger than the sum of its proper divisors (657429219).

828088425 is a wasteful number, since it uses less digits than its factorization.

828088425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 828088425 is about 28776.5255894453. The cubic root of 828088425 is about 939.0576133302.

The spelling of 828088425 in words is "eight hundred twenty-eight million, eighty-eight thousand, four hundred twenty-five".