728125398 has 288 divisors, whose sum is σ = 2258710272. Its totient is φ = 166320000.

The previous prime is 728125397. The next prime is 728125399. The reversal of 728125398 is 893521827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (728125397) and next prime (728125399).

Its product of digits (241920) is a multiple of the sum of its prime factors (320).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728125397) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2900773 + ... + 2901023.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^728125398 is an apocalyptic number.

728125398 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 728125398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

728125398 is an abundant number, since it is smaller than the sum of its proper divisors (1530584874).

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

728125398 is a wasteful number, since it uses less digits than its factorization.

728125398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 728125398 is about 26983.7988059502. The cubic root of 728125398 is about 899.6399374506.

It can be divided in two parts, 72812 and 5398, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 728125398 in words is "seven hundred twenty-eight million, one hundred twenty-five thousand, three hundred ninety-eight".