6428688 has 120 divisors (see below), whose sum is σ = 20409408. Its totient is φ = 1707264.

The previous prime is 6428671. The next prime is 6428693. The reversal of 6428688 is 8868246.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121270 + ... + 121322.

Almost surely, 2^6428688 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 6428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

6428688 is an abundant number, since it is smaller than the sum of its proper divisors (13980720).

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

6428688 is a wasteful number, since it uses less digits than its factorization.

6428688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 6428688 is about 2535.4857522771. The cubic root of 6428688 is about 185.9405521661.

The spelling of 6428688 in words is "six million, four hundred twenty-eight thousand, six hundred eighty-eight".