825175428 has 96 divisors (see below), whose sum is σ = 2451714048. Its totient is φ = 209760000.

The previous prime is 825175423. The next prime is 825175441. The reversal of 825175428 is 824571528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 825175428.

It is not an unprimeable number, because it can be changed into a prime (825175423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33928 + ... + 52928.

It is an arithmetic number, because the mean of its divisors is an integer number (25538688).

Almost surely, 2^825175428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825175428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225857024).

825175428 is an abundant number, since it is smaller than the sum of its proper divisors (1626538620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825175428 is a wasteful number, since it uses less digits than its factorization.

825175428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19073 (or 19071 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 825175428 is about 28725.8668798698. The cubic root of 825175428 is about 937.9552005251.

The spelling of 825175428 in words is "eight hundred twenty-five million, one hundred seventy-five thousand, four hundred twenty-eight".