728662435200 has 1152 divisors, whose sum is σ = 3104122752000. Its totient is φ = 163518566400.

The previous prime is 728662435199. The next prime is 728662435211. The reversal of 728662435200 is 2534266827.

728662435200 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 6 + 2 + 435 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3048796681 + ... + 3048796919.

It is an arithmetic number, because the mean of its divisors is an integer number (2694551000).

Almost surely, 2^728662435200 is an apocalyptic number.

728662435200 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 728662435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552061376000).

728662435200 is an abundant number, since it is smaller than the sum of its proper divisors (2375460316800).

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

728662435200 is a wasteful number, since it uses less digits than its factorization.

728662435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 728662435200 in words is "seven hundred twenty-eight billion, six hundred sixty-two million, four hundred thirty-five thousand, two hundred".