67888128 has 264 divisors, whose sum is σ = 235224864. Its totient is φ = 17203200.

The previous prime is 67888127. The next prime is 67888129. The reversal of 67888128 is 82188876.

It is an interprime number because it is at equal distance from previous prime (67888127) and next prime (67888129).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

Its product of digits (344064) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (67888127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655788 + ... + 1655828.

Almost surely, 2^67888128 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 67888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612432).

67888128 is an abundant number, since it is smaller than the sum of its proper divisors (167336736).

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

67888128 is a wasteful number, since it uses less digits than its factorization.

67888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 67888128 is about 8239.4252226718. The cubic root of 67888128 is about 407.9415525657.

The spelling of 67888128 in words is "sixty-seven million, eight hundred eighty-eight thousand, one hundred twenty-eight".