428632512 has 224 divisors, whose sum is σ = 1435729920. Its totient is φ = 109624320.

The previous prime is 428632511. The next prime is 428632541. The reversal of 428632512 is 215236824.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428632511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167753 + ... + 1168119.

Almost surely, 2^428632512 is an apocalyptic number.

428632512 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 428632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717864960).

428632512 is an abundant number, since it is smaller than the sum of its proper divisors (1007097408).

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

428632512 is a wasteful number, since it uses less digits than its factorization.

428632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 428632512 is about 20703.4420326669. The cubic root of 428632512 is about 753.9832589678.

The spelling of 428632512 in words is "four hundred twenty-eight million, six hundred thirty-two thousand, five hundred twelve".