428187760 has 160 divisors (see below), whose sum is σ = 1336914432. Its totient is φ = 123171840.

The previous prime is 428187709. The next prime is 428187763. The reversal of 428187760 is 67781824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428187763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77407 + ... + 82753.

Almost surely, 2^428187760 is an apocalyptic number.

428187760 is a gapful number since it is divisible by the number (40) 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 428187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668457216).

428187760 is an abundant number, since it is smaller than the sum of its proper divisors (908726672).

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

428187760 is a wasteful number, since it uses less digits than its factorization.

428187760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 428187760 is about 20692.6982290855. The cubic root of 428187760 is about 753.7223893401.

The spelling of 428187760 in words is "four hundred twenty-eight million, one hundred eighty-seven thousand, seven hundred sixty".