728206101504 has 1232 divisors, whose sum is σ = 2670239642112. Its totient is φ = 193921744896.

The previous prime is 728206101503. The next prime is 728206101517. The reversal of 728206101504 is 405101602827.

728206101504 is a `hidden beast` number, since 7 + 2 + 8 + 20 + 610 + 15 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728206101503) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8773567447 + ... + 8773567529.

Almost surely, 2^728206101504 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 728206101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335119821056).

728206101504 is an abundant number, since it is smaller than the sum of its proper divisors (1942033540608).

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

728206101504 is an equidigital number, since it uses as much as digits as its factorization.

728206101504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 728206101504 in words is "seven hundred twenty-eight billion, two hundred six million, one hundred one thousand, five hundred four".