428750784 has 252 divisors, whose sum is σ = 1560670488. Its totient is φ = 111283200.

The previous prime is 428750747. The next prime is 428750821. The reversal of 428750784 is 487057824.

It is an interprime number because it is at equal distance from previous prime (428750747) and next prime (428750821).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×428750784² = 367654469561229312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309774 + ... + 311154.

Almost surely, 2^428750784 is an apocalyptic number.

428750784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780335244).

428750784 is an abundant number, since it is smaller than the sum of its proper divisors (1131919704).

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

428750784 is a wasteful number, since it uses less digits than its factorization.

428750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 428750784 is about 20706.2981722953. The cubic root of 428750784 is about 754.0526011236.

The spelling of 428750784 in words is "four hundred twenty-eight million, seven hundred fifty thousand, seven hundred eighty-four".