42800832 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 12718080.

The previous prime is 42800831. The next prime is 42800851. The reversal of 42800832 is 23800824.

It is a super-2 number, since 2×42800832² = 3663822439784448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42800796 and 42800805.

It is not an unprimeable number, because it can be changed into a prime (42800831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910633 + ... + 910679.

Almost surely, 2^42800832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

42800832 is an abundant number, since it is smaller than the sum of its proper divisors (97651008).

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

42800832 is a wasteful number, since it uses less digits than its factorization.

42800832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42800832 is about 6542.2344806648. The cubic root of 42800832 is about 349.7980658284.

The spelling of 42800832 in words is "forty-two million, eight hundred thousand, eight hundred thirty-two".