428857410 has 64 divisors (see below), whose sum is σ = 1071120384. Its totient is φ = 109771200.

The previous prime is 428857393. The next prime is 428857427. The reversal of 428857410 is 14758824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428857393) and next prime (428857427).

It is a super-2 number, since 2×428857410² = 367837356223816200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116295 + ... + 119925.

It is an arithmetic number, because the mean of its divisors is an integer number (16736256).

Almost surely, 2^428857410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428857410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535560192).

428857410 is an abundant number, since it is smaller than the sum of its proper divisors (642262974).

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

428857410 is a wasteful number, since it uses less digits than its factorization.

428857410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799.

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 428857410 is about 20708.8727361003. The cubic root of 428857410 is about 754.1151043707.

The spelling of 428857410 in words is "four hundred twenty-eight million, eight hundred fifty-seven thousand, four hundred ten".