42128800 has 72 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 14442240.

The previous prime is 42128797. The next prime is 42128803. The reversal of 42128800 is 882124.

It is an interprime number because it is at equal distance from previous prime (42128797) and next prime (42128803).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42128803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839 + ... + 9361.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^42128800 is an apocalyptic number.

42128800 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 42128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

42128800 is an abundant number, since it is smaller than the sum of its proper divisors (75426176).

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

42128800 is a wasteful number, since it uses less digits than its factorization.

42128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 42128800 is about 6490.6702273340. The cubic root of 42128800 is about 347.9576290510.

The spelling of 42128800 in words is "forty-two million, one hundred twenty-eight thousand, eight hundred".