711361728 has 336 divisors, whose sum is σ = 2608210176. Its totient is φ = 179988480.

The previous prime is 711361711. The next prime is 711361757. The reversal of 711361728 is 827163117.

711361728 is a `hidden beast` number, since 7 + 1 + 13 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 711361692 and 711361701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906950 + ... + 1907322.

Almost surely, 2^711361728 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 711361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304105088).

711361728 is an abundant number, since it is smaller than the sum of its proper divisors (1896848448).

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

711361728 is a wasteful number, since it uses less digits than its factorization.

711361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 711361728 is about 26671.3653193833. The cubic root of 711361728 is about 892.6821114624.

The spelling of 711361728 in words is "seven hundred eleven million, three hundred sixty-one thousand, seven hundred twenty-eight".