428694144 has 64 divisors (see below), whose sum is σ = 1162995840. Its totient is φ = 139851776.

The previous prime is 428694107. The next prime is 428694187. The reversal of 428694144 is 441496824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 428694096 and 428694105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6172 + ... + 29924.

It is an arithmetic number, because the mean of its divisors is an integer number (18171810).

Almost surely, 2^428694144 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 428694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581497920).

428694144 is an abundant number, since it is smaller than the sum of its proper divisors (734301696).

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

428694144 is a wasteful number, since it uses less digits than its factorization.

428694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23817 (or 23805 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 428694144 is about 20704.9304273161. The cubic root of 428694144 is about 754.0193950268.

The spelling of 428694144 in words is "four hundred twenty-eight million, six hundred ninety-four thousand, one hundred forty-four".