428859816 has 288 divisors, whose sum is σ = 1450317120. Its totient is φ = 103403520.

The previous prime is 428859791. The next prime is 428859923. The reversal of 428859816 is 618958824.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5874756 + ... + 5874828.

Almost surely, 2^428859816 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 428859816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725158560).

428859816 is an abundant number, since it is smaller than the sum of its proper divisors (1021457304).

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

428859816 is a wasteful number, since it uses less digits than its factorization.

428859816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 428859816 is about 20708.9308270611. The cubic root of 428859816 is about 754.1165146277.

The spelling of 428859816 in words is "four hundred twenty-eight million, eight hundred fifty-nine thousand, eight hundred sixteen".