728066023650 has 144 divisors (see below), whose sum is σ = 2237576500224. Its totient is φ = 166261213440.

The previous prime is 728066023631. The next prime is 728066023679. The reversal of 728066023650 is 56320660827.

It is a happy number.

728066023650 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 6 + 602 + 36 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 728066023596 and 728066023605.

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 71 ways as a sum of consecutive naturals, for example, 3317734 + ... + 3530366.

It is an arithmetic number, because the mean of its divisors is an integer number (15538725696).

Almost surely, 2^728066023650 is an apocalyptic number.

728066023650 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 728066023650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118788250112).

728066023650 is an abundant number, since it is smaller than the sum of its proper divisors (1509510476574).

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

728066023650 is a wasteful number, since it uses less digits than its factorization.

728066023650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213745 (or 213737 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 728066023650 in words is "seven hundred twenty-eight billion, sixty-six million, twenty-three thousand, six hundred fifty".