402825728 has 30 divisors (see below), whose sum is σ = 805773111. Its totient is φ = 201185792.

The previous prime is 402825719. The next prime is 402825737. The reversal of 402825728 is 827528204.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (402825719) and next prime (402825737).

It can be written as a sum of positive squares in only one way, i.e., 201412864 + 201412864 = 14192^2 + 14192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14192.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402825691 and 402825700.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 453701 + ... + 454587.

Almost surely, 2^402825728 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 402825728

402825728 is an abundant number, since it is smaller than the sum of its proper divisors (402947383).

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

402825728 is an frugal number, since it uses more digits than its factorization.

402825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 402825728 is about 20070.5188771990. The cubic root of 402825728 is about 738.5372419541.

The spelling of 402825728 in words is "four hundred two million, eight hundred twenty-five thousand, seven hundred twenty-eight".