66793728 has 72 divisors (see below), whose sum is σ = 183960000. Its totient is φ = 21489664.

The previous prime is 66793717. The next prime is 66793729. The reversal of 66793728 is 82739766.

It is a super-2 number, since 2×66793728² = 8922804200275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66793729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20773 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (2555000).

Almost surely, 2^66793728 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 66793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980000).

66793728 is an abundant number, since it is smaller than the sum of its proper divisors (117166272).

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

66793728 is a wasteful number, since it uses less digits than its factorization.

66793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3033 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 66793728 is about 8172.7429911872. The cubic root of 66793728 is about 405.7375737853.

It can be divided in two parts, 667 and 93728, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 66793728 in words is "sixty-six million, seven hundred ninety-three thousand, seven hundred twenty-eight".