428311368 has 64 divisors (see below), whose sum is σ = 1192632000. Its totient is φ = 142425216.

The previous prime is 428311363. The next prime is 428311397. The reversal of 428311368 is 863113824.

428311368 is a `hidden beast` number, since 4 + 283 + 11 + 368 = 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 not an unprimeable number, because it can be changed into a prime (428311363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96543 + ... + 100881.

It is an arithmetic number, because the mean of its divisors is an integer number (18634875).

Almost surely, 2^428311368 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 428311368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596316000).

428311368 is an abundant number, since it is smaller than the sum of its proper divisors (764320632).

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

428311368 is a wasteful number, since it uses less digits than its factorization.

428311368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4801 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 428311368 is about 20695.6847676031. The cubic root of 428311368 is about 753.7949098263.

It can be divided in two parts, 4283 and 11368, that added together give a palindrome (15651).

The spelling of 428311368 in words is "four hundred twenty-eight million, three hundred eleven thousand, three hundred sixty-eight".