428621424 has 120 divisors (see below), whose sum is σ = 1405231488. Its totient is φ = 111323520.

The previous prime is 428621359. The next prime is 428621429. The reversal of 428621424 is 424126824.

It is a super-2 number, since 2×428621424² = 367432650223575552, which contains 22 as substring.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428621429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17589 + ... + 34155.

Almost surely, 2^428621424 is an apocalyptic number.

428621424 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 428621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702615744).

428621424 is an abundant number, since it is smaller than the sum of its proper divisors (976610064).

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

428621424 is a wasteful number, since it uses less digits than its factorization.

428621424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603 (or 16590 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 428621424 is about 20703.1742493754. The cubic root of 428621424 is about 753.9767574868.

The spelling of 428621424 in words is "four hundred twenty-eight million, six hundred twenty-one thousand, four hundred twenty-four".