428948520 has 256 divisors, whose sum is σ = 1728276480. Its totient is φ = 82252800.

The previous prime is 428948479. The next prime is 428948537. The reversal of 428948520 is 25849824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118335 + ... + 121905.

It is an arithmetic number, because the mean of its divisors is an integer number (6751080).

Almost surely, 2^428948520 is an apocalyptic number.

428948520 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 428948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864138240).

428948520 is an abundant number, since it is smaller than the sum of its proper divisors (1299327960).

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

428948520 is a wasteful number, since it uses less digits than its factorization.

428948520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 428948520 is about 20711.0724010129. The cubic root of 428948520 is about 754.1685040637.

The spelling of 428948520 in words is "four hundred twenty-eight million, nine hundred forty-eight thousand, five hundred twenty".