428114232 has 288 divisors, whose sum is σ = 1514429280. Its totient is φ = 106375680.

The previous prime is 428114227. The next prime is 428114233. The reversal of 428114232 is 232411824.

428114232 is a `hidden beast` number, since 428 + 1 + 1 + 4 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 428114196 and 428114205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428114233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2365182 + ... + 2365362.

It is an arithmetic number, because the mean of its divisors is an integer number (5258435).

Almost surely, 2^428114232 is an apocalyptic number.

428114232 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 428114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757214640).

428114232 is an abundant number, since it is smaller than the sum of its proper divisors (1086315048).

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

428114232 is a wasteful number, since it uses less digits than its factorization.

428114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 428114232 is about 20690.9214874543. The cubic root of 428114232 is about 753.6792440368.

The spelling of 428114232 in words is "four hundred twenty-eight million, one hundred fourteen thousand, two hundred thirty-two".