78333728 has 48 divisors (see below), whose sum is σ = 169555680. Its totient is φ = 35328000.

The previous prime is 78333707. The next prime is 78333743. The reversal of 78333728 is 82733387.

It is a super-2 number, since 2×78333728² = 12272345884755968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48128 + ... + 49728.

It is an arithmetic number, because the mean of its divisors is an integer number (3532410).

Almost surely, 2^78333728 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 78333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84777840).

78333728 is an abundant number, since it is smaller than the sum of its proper divisors (91221952).

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

78333728 is a wasteful number, since it uses less digits than its factorization.

78333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 78333728 is about 8850.6343275496. The cubic root of 78333728 is about 427.8743626342.

The spelling of 78333728 in words is "seventy-eight million, three hundred thirty-three thousand, seven hundred twenty-eight".