42288048 has 120 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 12798720.

The previous prime is 42288047. The next prime is 42288089. The reversal of 42288048 is 84088224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42288041) 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, 51868 + ... + 52676.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^42288048 is an apocalyptic number.

42288048 is a gapful number since it is divisible by the number (48) 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 42288048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

42288048 is an abundant number, since it is smaller than the sum of its proper divisors (91297152).

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

42288048 is a wasteful number, since it uses less digits than its factorization.

42288048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42288048 is about 6502.9261106059. The cubic root of 42288048 is about 348.3955075230.

The spelling of 42288048 in words is "forty-two million, two hundred eighty-eight thousand, forty-eight".