428794800 has 120 divisors (see below), whose sum is σ = 1569828096. Its totient is φ = 98008320.

The previous prime is 428794777. The next prime is 428794801. The reversal of 428794800 is 8497824.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428794801) 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, 17124 + ... + 33923.

Almost surely, 2^428794800 is an apocalyptic number.

428794800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428794800 is an abundant number, since it is smaller than the sum of its proper divisors (1141033296).

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

428794800 is a wasteful number, since it uses less digits than its factorization.

428794800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51075 (or 51064 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 428794800 is about 20707.3610100370. The cubic root of 428794800 is about 754.0784041812.

The spelling of 428794800 in words is "four hundred twenty-eight million, seven hundred ninety-four thousand, eight hundred".