428623416 has 96 divisors (see below), whose sum is σ = 1257852960. Its totient is φ = 131072256.

The previous prime is 428623399. The next prime is 428623421. The reversal of 428623416 is 614326824.

428623416 is a `hidden beast` number, since 4 + 28 + 623 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 160605 + ... + 163251.

It is an arithmetic number, because the mean of its divisors is an integer number (13102635).

Almost surely, 2^428623416 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 428623416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628926480).

428623416 is an abundant number, since it is smaller than the sum of its proper divisors (829229544).

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

428623416 is a wasteful number, since it uses less digits than its factorization.

428623416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 428623416 is about 20703.2223578843. Note that the first 3 decimals coincide. The cubic root of 428623416 is about 753.9779255100.

The spelling of 428623416 in words is "four hundred twenty-eight million, six hundred twenty-three thousand, four hundred sixteen".