42828240 has 320 divisors, whose sum is σ = 170989056. Its totient is φ = 8626176.

The previous prime is 42828229. The next prime is 42828251. The reversal of 42828240 is 4282824.

It is an interprime number because it is at equal distance from previous prime (42828229) and next prime (42828251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42828198 and 42828207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808054 + ... + 808106.

Almost surely, 2^42828240 is an apocalyptic number.

42828240 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 42828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

42828240 is an abundant number, since it is smaller than the sum of its proper divisors (128160816).

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

42828240 is a wasteful number, since it uses less digits than its factorization.

42828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42828240 is about 6544.3288425934. The cubic root of 42828240 is about 349.8727156209.

The spelling of 42828240 in words is "forty-two million, eight hundred twenty-eight thousand, two hundred forty".