728041409550 has 720 divisors, whose sum is σ = 2596338792432. Its totient is φ = 149840409600.

The previous prime is 728041409507. The next prime is 728041409551. The reversal of 728041409550 is 55904140827.

728041409550 is a `hidden beast` number, since 7 + 2 + 80 + 4 + 14 + 0 + 9 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 728041409496 and 728041409505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728041409551) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 105770409 + ... + 105777291.

Almost surely, 2^728041409550 is an apocalyptic number.

728041409550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 728041409550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298169396216).

728041409550 is an abundant number, since it is smaller than the sum of its proper divisors (1868297382882).

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

728041409550 is a wasteful number, since it uses less digits than its factorization.

728041409550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 728041409550 in words is "seven hundred twenty-eight billion, forty-one million, four hundred nine thousand, five hundred fifty".