428553000 has 192 divisors, whose sum is σ = 1534263120. Its totient is φ = 107520000.

The previous prime is 428552953. The next prime is 428553001. The reversal of 428553000 is 355824.

It can be written as a sum of positive squares in 8 ways, for example, as 45724644 + 382828356 = 6762^2 + 19566^2 .

It is not an unprimeable number, because it can be changed into a prime (428553001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151600 + ... + 154400.

Almost surely, 2^428553000 is an apocalyptic number.

428553000 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 428553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767131560).

428553000 is an abundant number, since it is smaller than the sum of its proper divisors (1105710120).

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

428553000 is a wasteful number, since it uses less digits than its factorization.

428553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 428553000 is about 20701.5216832000. The cubic root of 428553000 is about 753.9366343943.

The spelling of 428553000 in words is "four hundred twenty-eight million, five hundred fifty-three thousand".