66428310 has 64 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 16114560.

The previous prime is 66428291. The next prime is 66428339. The reversal of 66428310 is 1382466.

It is a super-2 number, since 2×66428310² = 8825440738912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26491 + ... + 28889.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^66428310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66428310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

66428310 is an abundant number, since it is smaller than the sum of its proper divisors (107754090).

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

66428310 is a wasteful number, since it uses less digits than its factorization.

66428310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 66428310 is about 8150.3564339236. The cubic root of 66428310 is about 404.9963115043.

The spelling of 66428310 in words is "sixty-six million, four hundred twenty-eight thousand, three hundred ten".