67829728 has 48 divisors (see below), whose sum is σ = 143582544. Its totient is φ = 31426560.

The previous prime is 67829701. The next prime is 67829759. The reversal of 67829728 is 82792876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35518 + ... + 37378.

It is an arithmetic number, because the mean of its divisors is an integer number (2991303).

Almost surely, 2^67829728 is an apocalyptic number.

67829728 is a gapful number since it is divisible by the number (68) 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 67829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71791272).

67829728 is an abundant number, since it is smaller than the sum of its proper divisors (75752816).

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

67829728 is a wasteful number, since it uses less digits than its factorization.

67829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1947 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 67829728 is about 8235.8805236599. The cubic root of 67829728 is about 407.8245432936.

The spelling of 67829728 in words is "sixty-seven million, eight hundred twenty-nine thousand, seven hundred twenty-eight".