67828992 has 288 divisors, whose sum is σ = 238608384. Its totient is φ = 16588800.

The previous prime is 67828973. The next prime is 67829033. The reversal of 67828992 is 29982876.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833198 + ... + 1833234.

Almost surely, 2^67828992 is an apocalyptic number.

67828992 is a gapful number since it is divisible by the number (62) 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 67828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119304192).

67828992 is an abundant number, since it is smaller than the sum of its proper divisors (170779392).

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

67828992 is a wasteful number, since it uses less digits than its factorization.

67828992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 67828992 is about 8235.8358410061. The cubic root of 67828992 is about 407.8230682278.

The spelling of 67828992 in words is "sixty-seven million, eight hundred twenty-eight thousand, nine hundred ninety-two".