655249728 has 112 divisors (see below), whose sum is σ = 2045394944. Its totient is φ = 181163520.

The previous prime is 655249723. The next prime is 655249729. The reversal of 655249728 is 827942556.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655249723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33801 + ... + 49527.

Almost surely, 2^655249728 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 655249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022697472).

655249728 is an abundant number, since it is smaller than the sum of its proper divisors (1390145216).

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

655249728 is a wasteful number, since it uses less digits than its factorization.

655249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780 (or 15770 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 655249728 is about 25597.8461593940. The cubic root of 655249728 is about 868.5649164365.

It can be divided in two parts, 6552 and 49728, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 655249728 in words is "six hundred fifty-five million, two hundred forty-nine thousand, seven hundred twenty-eight".