728822676480 has 352 divisors, whose sum is σ = 2395331930880. Its totient is φ = 189066117120.

The previous prime is 728822676473. The next prime is 728822676529. The reversal of 728822676480 is 84676228827.

It is a super-3 number, since 3×728822676480³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87901135 + ... + 87909425.

Almost surely, 2^728822676480 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 728822676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197665965440).

728822676480 is an abundant number, since it is smaller than the sum of its proper divisors (1666509254400).

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

728822676480 is a wasteful number, since it uses less digits than its factorization.

728822676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 728822676480 in words is "seven hundred twenty-eight billion, eight hundred twenty-two million, six hundred seventy-six thousand, four hundred eighty".