427987728 has 120 divisors (see below), whose sum is σ = 1374662016. Its totient is φ = 121766400.

The previous prime is 427987727. The next prime is 427987751. The reversal of 427987728 is 827789724.

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

It is not an unprimeable number, because it can be changed into a prime (427987727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282493 + ... + 284003.

Almost surely, 2^427987728 is an apocalyptic number.

427987728 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 427987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687331008).

427987728 is an abundant number, since it is smaller than the sum of its proper divisors (946674288).

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

427987728 is a wasteful number, since it uses less digits than its factorization.

427987728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 427987728 is about 20687.8642686963. The cubic root of 427987728 is about 753.6050015220.

The spelling of 427987728 in words is "four hundred twenty-seven million, nine hundred eighty-seven thousand, seven hundred twenty-eight".