428146560 has 192 divisors, whose sum is σ = 1533757680. Its totient is φ = 114130944.

The previous prime is 428146553. The next prime is 428146567. The reversal of 428146560 is 65641824.

It is an interprime number because it is at equal distance from previous prime (428146553) and next prime (428146567).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428146567) 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, 154144 + ... + 156896.

Almost surely, 2^428146560 is an apocalyptic number.

428146560 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 428146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766878840).

428146560 is an abundant number, since it is smaller than the sum of its proper divisors (1105611120).

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

428146560 is an equidigital number, since it uses as much as digits as its factorization.

428146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428146560 is about 20691.7026848928. The cubic root of 428146560 is about 753.6982143081.

The spelling of 428146560 in words is "four hundred twenty-eight million, one hundred forty-six thousand, five hundred sixty".