428452512 has 48 divisors (see below), whose sum is σ = 1129699872. Its totient is φ = 142181120.

The previous prime is 428452481. The next prime is 428452523. The reversal of 428452512 is 215254824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×428452512² = 367143110078220288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11962 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (23535414).

Almost surely, 2^428452512 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 428452512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564849936).

428452512 is an abundant number, since it is smaller than the sum of its proper divisors (701247360).

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

428452512 is a wasteful number, since it uses less digits than its factorization.

428452512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901 (or 19893 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 428452512 is about 20699.0944729474. The cubic root of 428452512 is about 753.8777015770.

The spelling of 428452512 in words is "four hundred twenty-eight million, four hundred fifty-two thousand, five hundred twelve".