428778448896 has 288 divisors, whose sum is σ = 1378862896320. Its totient is φ = 116056129536.

The previous prime is 428778448873. The next prime is 428778448897. The reversal of 428778448896 is 698844877824.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

Its product of digits (1387266048) is a multiple of the sum of its prime divisors (27648).

It is not an unprimeable number, because it can be changed into a prime (428778448897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15512080 + ... + 15539696.

It is an arithmetic number, because the mean of its divisors is an integer number (4787718390).

Almost surely, 2^428778448896 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 428778448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689431448160).

428778448896 is an abundant number, since it is smaller than the sum of its proper divisors (950084447424).

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

428778448896 is a wasteful number, since it uses less digits than its factorization.

428778448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27687 (or 27648 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 75.

The spelling of 428778448896 in words is "four hundred twenty-eight billion, seven hundred seventy-eight million, four hundred forty-eight thousand, eight hundred ninety-six".