42828800 has 132 divisors (see below), whose sum is σ = 121837440. Its totient is φ = 14622720.

The previous prime is 42828791. The next prime is 42828809. The reversal of 42828800 is 882824.

It is an interprime number because it is at equal distance from previous prime (42828791) and next prime (42828809).

It is a super-2 number, since 2×42828800² = 3668612218880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42828809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179081 + ... + 179319.

Almost surely, 2^42828800 is an apocalyptic number.

42828800 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 42828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

42828800 is an abundant number, since it is smaller than the sum of its proper divisors (79008640).

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

42828800 is a wasteful number, since it uses less digits than its factorization.

42828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 42828800 is about 6544.3716275896. The cubic root of 42828800 is about 349.8742405327.

The spelling of 42828800 in words is "forty-two million, eight hundred twenty-eight thousand, eight hundred".