428661760 has 88 divisors (see below), whose sum is σ = 1064112480. Its totient is φ = 165494784.

The previous prime is 428661743. The next prime is 428661763. The reversal of 428661760 is 67166824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428661763) 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 7 ways as a sum of consecutive naturals, for example, 147037 + ... + 149923.

Almost surely, 2^428661760 is an apocalyptic number.

428661760 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 428661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532056240).

428661760 is an abundant number, since it is smaller than the sum of its proper divisors (635450720).

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

428661760 is a wasteful number, since it uses less digits than its factorization.

428661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 428661760 is about 20704.1483765935. The cubic root of 428661760 is about 754.0004080798. Note that the first 3 decimals are identical.

The spelling of 428661760 in words is "four hundred twenty-eight million, six hundred sixty-one thousand, seven hundred sixty".