428788152 has 144 divisors (see below), whose sum is σ = 1271813400. Its totient is φ = 130440960.

The previous prime is 428788123. The next prime is 428788169. The reversal of 428788152 is 251887824.

It is a happy number.

428788152 is a `hidden beast` number, since 428 + 78 + 8 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 428788098 and 428788107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1593874 + ... + 1594142.

Almost surely, 2^428788152 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 428788152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635906700).

428788152 is an abundant number, since it is smaller than the sum of its proper divisors (843025248).

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

428788152 is a wasteful number, since it uses less digits than its factorization.

428788152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 428788152 is about 20707.2004867872. The cubic root of 428788152 is about 754.0745071042.

The spelling of 428788152 in words is "four hundred twenty-eight million, seven hundred eighty-eight thousand, one hundred fifty-two".