728103621600 has 2016 divisors, whose sum is σ = 3068947574784. Its totient is φ = 167513702400.

The previous prime is 728103621587. The next prime is 728103621613. The reversal of 728103621600 is 6126301827.

728103621600 is a `hidden beast` number, since 7 + 2 + 8 + 10 + 36 + 2 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (728103621587) and next prime (728103621613).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7068967149 + ... + 7068967251.

It is an arithmetic number, because the mean of its divisors is an integer number (1522295424).

Almost surely, 2^728103621600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728103621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534473787392).

728103621600 is an abundant number, since it is smaller than the sum of its proper divisors (2340843953184).

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

728103621600 is a wasteful number, since it uses less digits than its factorization.

728103621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 728103621600 in words is "seven hundred twenty-eight billion, one hundred three million, six hundred twenty-one thousand, six hundred".