428178432 has 88 divisors (see below), whose sum is σ = 1245100032. Its totient is φ = 129740800.

The previous prime is 428178409. The next prime is 428178449. The reversal of 428178432 is 234871824.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27457 + ... + 40127.

It is an arithmetic number, because the mean of its divisors is an integer number (14148864).

Almost surely, 2^428178432 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 428178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622550016).

428178432 is an abundant number, since it is smaller than the sum of its proper divisors (816921600).

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

428178432 is a wasteful number, since it uses less digits than its factorization.

428178432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705 (or 12687 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 428178432 is about 20692.4728343424. The cubic root of 428178432 is about 753.7169160609.

The spelling of 428178432 in words is "four hundred twenty-eight million, one hundred seventy-eight thousand, four hundred thirty-two".