728946001 has 45 divisors (see below), whose sum is σ = 929514651. Its totient is φ = 571514832.

The previous prime is 728945993. The next prime is 728946017. The reversal of 728946001 is 100649827.

The square root of 728946001 is 26999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 382241601 + 346704400 = 19551^2 + 18620^2 .

It is not a de Polignac number, because 728946001 - 2³ = 728945993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728946301) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25136055 + ... + 25136083.

Almost surely, 2^728946001 is an apocalyptic number.

728946001 is the 26999-th square number.

728946001 is the 13500-th centered octagonal number.

It is an amenable number.

728946001 is a deficient number, since it is larger than the sum of its proper divisors (200568650).

728946001 is an frugal number, since it uses more digits than its factorization.

728946001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 728946001 is about 899.9777776406.

It can be divided in two parts, 728 and 946001, that added together give a square (946729 = 973²).

The spelling of 728946001 in words is "seven hundred twenty-eight million, nine hundred forty-six thousand, one".