428429736 has 240 divisors, whose sum is σ = 1420230240. Its totient is φ = 120294720.

The previous prime is 428429723. The next prime is 428429753. The reversal of 428429736 is 637924824.

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

It is a junction number, because it is equal to n+sod(n) for n = 428429691 and 428429700.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3270391 + ... + 3270521.

It is an arithmetic number, because the mean of its divisors is an integer number (5917626).

Almost surely, 2^428429736 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 428429736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710115120).

428429736 is an abundant number, since it is smaller than the sum of its proper divisors (991800504).

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

428429736 is a wasteful number, since it uses less digits than its factorization.

428429736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 428429736 is about 20698.5442966408. The cubic root of 428429736 is about 753.8643429416.

The spelling of 428429736 in words is "four hundred twenty-eight million, four hundred twenty-nine thousand, seven hundred thirty-six".