428253000 has 128 divisors (see below), whose sum is σ = 1527102720. Its totient is φ = 97881600.

The previous prime is 428252987. The next prime is 428253011. The reversal of 428253000 is 352824.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10804 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (11930490).

Almost surely, 2^428253000 is an apocalyptic number.

428253000 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 428253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763551360).

428253000 is an abundant number, since it is smaller than the sum of its proper divisors (1098849720).

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

428253000 is a wasteful number, since it uses less digits than its factorization.

428253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 428253000 is about 20694.2745705183. The cubic root of 428253000 is about 753.7606672143.

The spelling of 428253000 in words is "four hundred twenty-eight million, two hundred fifty-three thousand".