428590848 has 144 divisors (see below), whose sum is σ = 1331052800. Its totient is φ = 122379264.

The previous prime is 428590829. The next prime is 428590853. The reversal of 428590848 is 848095824.

It is a super-2 number, since 2×428590848² = 367380229978718208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 428590797 and 428590806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262611 + ... + 264237.

Almost surely, 2^428590848 is an apocalyptic number.

428590848 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 428590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665526400).

428590848 is an abundant number, since it is smaller than the sum of its proper divisors (902461952).

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

428590848 is an equidigital number, since it uses as much as digits as its factorization.

428590848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 428590848 is about 20702.4357987170. The cubic root of 428590848 is about 753.9588285793.

The spelling of 428590848 in words is "four hundred twenty-eight million, five hundred ninety thousand, eight hundred forty-eight".