726828627 has 8 divisors (see below), whose sum is σ = 1107548416. Its totient is φ = 415330632.

The previous prime is 726828601. The next prime is 726828647.

It is a happy number.

726828627 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 726828627 - 2⁶ = 726828563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726828647) 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, 17305423 + ... + 17305464.

It is an arithmetic number, because the mean of its divisors is an integer number (138443552).

Almost surely, 2^726828627 is an apocalyptic number.

726828627 is a deficient number, since it is larger than the sum of its proper divisors (380719789).

726828627 is a wasteful number, since it uses less digits than its factorization.

726828627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34610897.

The product of its digits is 903168, while the sum is 48.

The square root of 726828627 is about 26959.7594017454. The cubic root of 726828627 is about 899.1055422090.

The spelling of 726828627 in words is "seven hundred twenty-six million, eight hundred twenty-eight thousand, six hundred twenty-seven".