428184288 has 144 divisors (see below), whose sum is σ = 1421521920. Its totient is φ = 119708928.

The previous prime is 428184271. The next prime is 428184293. The reversal of 428184288 is 882481824.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92493 + ... + 97011.

It is an arithmetic number, because the mean of its divisors is an integer number (9871680).

Almost surely, 2^428184288 is an apocalyptic number.

428184288 is a gapful number since it is divisible by the number (48) 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 428184288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710760960).

428184288 is an abundant number, since it is smaller than the sum of its proper divisors (993337632).

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

428184288 is a wasteful number, since it uses less digits than its factorization.

428184288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4578 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 428184288 is about 20692.6143345881. The cubic root of 428184288 is about 753.7203521254.

The spelling of 428184288 in words is "four hundred twenty-eight million, one hundred eighty-four thousand, two hundred eighty-eight".