7842128 has 20 divisors (see below), whose sum is σ = 17364960. Its totient is φ = 3360864.

The previous prime is 7842127. The next prime is 7842139. The reversal of 7842128 is 8212487.

It is a super-2 number, since 2×7842128² = 122997943136768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7842094 and 7842103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34898 + ... + 35121.

It is an arithmetic number, because the mean of its divisors is an integer number (868248).

Almost surely, 2^7842128 is an apocalyptic number.

It is an amenable number.

7842128 is an abundant number, since it is smaller than the sum of its proper divisors (9522832).

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

7842128 is a wasteful number, since it uses less digits than its factorization.

7842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70034 (or 70028 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 7842128 is about 2800.3799742178. The cubic root of 7842128 is about 198.6756498398.

The spelling of 7842128 in words is "seven million, eight hundred forty-two thousand, one hundred twenty-eight".