728970 has 48 divisors (see below), whose sum is σ = 1950048. Its totient is φ = 172960.

The previous prime is 728969. The next prime is 728971. The reversal of 728970 is 79827.

It is an interprime number because it is at equal distance from previous prime (728969) and next prime (728971).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15487 + ... + 15533.

It is an arithmetic number, because the mean of its divisors is an integer number (40626).

2⁷²⁸⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975024).

728970 is an abundant number, since it is smaller than the sum of its proper divisors (1221078).

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

728970 is a wasteful number, since it uses less digits than its factorization.

728970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 728970 is about 853.7973998555. The cubic root of 728970 is about 89.9987654152.

The spelling of 728970 in words is "seven hundred twenty-eight thousand, nine hundred seventy".