428072832 has 288 divisors, whose sum is σ = 1407336840. Its totient is φ = 124692480.

The previous prime is 428072809. The next prime is 428072833. The reversal of 428072832 is 238270824.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428072833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5157463 + ... + 5157545.

Almost surely, 2^428072832 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 428072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703668420).

428072832 is an abundant number, since it is smaller than the sum of its proper divisors (979264008).

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

428072832 is a wasteful number, since it uses less digits than its factorization.

428072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 428072832 is about 20689.9210244989. The cubic root of 428072832 is about 753.6549488649.

The spelling of 428072832 in words is "four hundred twenty-eight million, seventy-two thousand, eight hundred thirty-two".