67828480 has 72 divisors (see below), whose sum is σ = 171082800. Its totient is φ = 25694208.

The previous prime is 67828471. The next prime is 67828507. The reversal of 67828480 is 8482876.

It is a super-2 number, since 2×67828480² = 9201405398220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 22926 + ... + 25714.

It is an arithmetic number, because the mean of its divisors is an integer number (2376150).

Almost surely, 2^67828480 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 67828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85541400).

67828480 is an abundant number, since it is smaller than the sum of its proper divisors (103254320).

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

67828480 is a wasteful number, since it uses less digits than its factorization.

67828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 67828480 is about 8235.8047572778. The cubic root of 67828480 is about 407.8220420887.

The spelling of 67828480 in words is "sixty-seven million, eight hundred twenty-eight thousand, four hundred eighty".