728250600 has 288 divisors, whose sum is σ = 2837943360. Its totient is φ = 151219200.

The previous prime is 728250583. The next prime is 728250617. The reversal of 728250600 is 6052827.

It is an interprime number because it is at equal distance from previous prime (728250583) and next prime (728250617).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 507484 + ... + 508916.

It is an arithmetic number, because the mean of its divisors is an integer number (9853970).

Almost surely, 2^728250600 is an apocalyptic number.

728250600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418971680).

728250600 is an abundant number, since it is smaller than the sum of its proper divisors (2109692760).

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

728250600 is a wasteful number, since it uses less digits than its factorization.

728250600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 728250600 is about 26986.1186538561. The cubic root of 728250600 is about 899.6914992029.

The spelling of 728250600 in words is "seven hundred twenty-eight million, two hundred fifty thousand, six hundred".