67828400 has 60 divisors (see below), whose sum is σ = 167398512. Its totient is φ = 26392320.

The previous prime is 67828399. The next prime is 67828427. The reversal of 67828400 is 482876.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12509 + ... + 17091.

Almost surely, 2^67828400 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 67828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83699256).

67828400 is an abundant number, since it is smaller than the sum of its proper divisors (99570112).

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

67828400 is a wasteful number, since it uses less digits than its factorization.

67828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 67828400 is about 8235.7999004347. The cubic root of 67828400 is about 407.8218817540.

The spelling of 67828400 in words is "sixty-seven million, eight hundred twenty-eight thousand, four hundred".