428262912 has 480 divisors, whose sum is σ = 1654608384. Its totient is φ = 103219200.

The previous prime is 428262859. The next prime is 428262931. The reversal of 428262912 is 219262824.

428262912 is a `hidden beast` number, since 4 + 28 + 2 + 629 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6031837 + ... + 6031907.

Almost surely, 2^428262912 is an apocalyptic number.

428262912 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 428262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

428262912 is an abundant number, since it is smaller than the sum of its proper divisors (1226345472).

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

428262912 is a wasteful number, since it uses less digits than its factorization.

428262912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 428262912 is about 20694.5140556622. The cubic root of 428262912 is about 753.7664824824.

The spelling of 428262912 in words is "four hundred twenty-eight million, two hundred sixty-two thousand, nine hundred twelve".