428072814 has 48 divisors (see below), whose sum is σ = 1001272272. Its totient is φ = 131393664.

The previous prime is 428072809. The next prime is 428072833. The reversal of 428072814 is 418270824.

It is a congruent number.

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, 104937 + ... + 108939.

It is an arithmetic number, because the mean of its divisors is an integer number (20859839).

Almost surely, 2^428072814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428072814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500636136).

428072814 is an abundant number, since it is smaller than the sum of its proper divisors (573199458).

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

428072814 is a wasteful number, since it uses less digits than its factorization.

428072814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 428072814 is about 20689.9205895044. The cubic root of 428072814 is about 753.6549383015.

The spelling of 428072814 in words is "four hundred twenty-eight million, seventy-two thousand, eight hundred fourteen".