728406940637376 has 672 divisors, whose sum is σ = 2805187673433600. Its totient is φ = 174523120680960.

The previous prime is 728406940637309. The next prime is 728406940637381. The reversal of 728406940637376 is 673736049604827.

728406940637376 is a `hidden beast` number, since 7 + 2 + 8 + 406 + 94 + 0 + 63 + 7 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840791440 + ... + 841657328.

It is an arithmetic number, because the mean of its divisors is an integer number (4174386418800).

Almost surely, 2^{728406940637376} 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 728406940637376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402593836716800).

728406940637376 is an abundant number, since it is smaller than the sum of its proper divisors (2076780732796224).

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

728406940637376 is a wasteful number, since it uses less digits than its factorization.

728406940637376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867397 (or 867384 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 728406940637376 in words is "seven hundred twenty-eight trillion, four hundred six billion, nine hundred forty million, six hundred thirty-seven thousand, three hundred seventy-six".