428983632 has 180 divisors, whose sum is σ = 1523804256. Its totient is φ = 111404160.

The previous prime is 428983619. The next prime is 428983669. The reversal of 428983632 is 236389824.

428983632 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 8 + 3 + 632 = 666.

It is a super-2 number, since 2×428983632² = 368053913047822848, which contains 22 as substring.

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

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, 74853 + ... + 80379.

Almost surely, 2^428983632 is an apocalyptic number.

428983632 is a gapful number since it is divisible by the number (42) 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 428983632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761902128).

428983632 is an abundant number, since it is smaller than the sum of its proper divisors (1094820624).

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

428983632 is a wasteful number, since it uses less digits than its factorization.

428983632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5550 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 428983632 is about 20711.9200461956. The cubic root of 428983632 is about 754.1890812354.

The spelling of 428983632 in words is "four hundred twenty-eight million, nine hundred eighty-three thousand, six hundred thirty-two".