428762736 has 120 divisors (see below), whose sum is σ = 1249364480. Its totient is φ = 137116800.

The previous prime is 428762723. The next prime is 428762743. The reversal of 428762736 is 637267824.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 428762691 and 428762700.

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, 620151 + ... + 620841.

Almost surely, 2^428762736 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 428762736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624682240).

428762736 is an abundant number, since it is smaller than the sum of its proper divisors (820601744).

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

428762736 is a wasteful number, since it uses less digits than its factorization.

428762736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 428762736 is about 20706.5867781245. The cubic root of 428762736 is about 754.0596077992.

The spelling of 428762736 in words is "four hundred twenty-eight million, seven hundred sixty-two thousand, seven hundred thirty-six".