42804288 has 140 divisors (see below), whose sum is σ = 132770880. Its totient is φ = 13609728.

The previous prime is 42804277. The next prime is 42804299. The reversal of 42804288 is 88240824.

It is an interprime number because it is at equal distance from previous prime (42804277) and next prime (42804299).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119053 + ... + 119411.

Almost surely, 2^42804288 is an apocalyptic number.

42804288 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 42804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66385440).

42804288 is an abundant number, since it is smaller than the sum of its proper divisors (89966592).

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

42804288 is a wasteful number, since it uses less digits than its factorization.

42804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

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

The square root of 42804288 is about 6542.4986052731. The cubic root of 42804288 is about 349.8074805175.

The spelling of 42804288 in words is "forty-two million, eight hundred four thousand, two hundred eighty-eight".