428177616 has 80 divisors (see below), whose sum is σ = 1195905600. Its totient is φ = 131549184.

The previous prime is 428177587. The next prime is 428177681. The reversal of 428177616 is 616771824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27400 + ... + 40088.

It is an arithmetic number, because the mean of its divisors is an integer number (14948820).

Almost surely, 2^428177616 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 428177616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597952800).

428177616 is an abundant number, since it is smaller than the sum of its proper divisors (767727984).

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

428177616 is a wasteful number, since it uses less digits than its factorization.

428177616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12756 (or 12750 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 428177616 is about 20692.4531170183. The cubic root of 428177616 is about 753.7164372626.

The spelling of 428177616 in words is "four hundred twenty-eight million, one hundred seventy-seven thousand, six hundred sixteen".