655291728 has 320 divisors, whose sum is σ = 2355404800. Its totient is φ = 169827840.

The previous prime is 655291717. The next prime is 655291729. The reversal of 655291728 is 827192556.

655291728 is a `hidden beast` number, since 6 + 552 + 91 + 7 + 2 + 8 = 666.

655291728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (302400) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655291729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3105543 + ... + 3105753.

It is an arithmetic number, because the mean of its divisors is an integer number (7360640).

Almost surely, 2^655291728 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 655291728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177702400).

655291728 is an abundant number, since it is smaller than the sum of its proper divisors (1700113072).

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

655291728 is a wasteful number, since it uses less digits than its factorization.

655291728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 655291728 is about 25598.6665277705. Note that the first 3 decimals coincide. The cubic root of 655291728 is about 868.5834737109.

The spelling of 655291728 in words is "six hundred fifty-five million, two hundred ninety-one thousand, seven hundred twenty-eight".