428272020 has 144 divisors (see below), whose sum is σ = 1437089472. Its totient is φ = 102366720.

The previous prime is 428271997. The next prime is 428272049. The reversal of 428272020 is 20272824.

It is a super-2 number, since 2×428272020² = 366833846229760800, 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 47 ways as a sum of consecutive naturals, for example, 143059 + ... + 146021.

It is an arithmetic number, because the mean of its divisors is an integer number (9979788).

Almost surely, 2^428272020 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 428272020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718544736).

428272020 is an abundant number, since it is smaller than the sum of its proper divisors (1008817452).

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

428272020 is a wasteful number, since it uses less digits than its factorization.

428272020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 428272020 is about 20694.7341128124. The cubic root of 428272020 is about 753.7718259729.

The spelling of 428272020 in words is "four hundred twenty-eight million, two hundred seventy-two thousand, twenty".