653630328 has 96 divisors (see below), whose sum is σ = 1912310400. Its totient is φ = 200496384.

The previous prime is 653630293. The next prime is 653630339. The reversal of 653630328 is 823036356.

It is a happy number.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 653630292 and 653630301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370713 + ... + 372471.

It is an arithmetic number, because the mean of its divisors is an integer number (19919900).

Almost surely, 2^653630328 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 653630328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956155200).

653630328 is an abundant number, since it is smaller than the sum of its proper divisors (1258680072).

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

653630328 is a wasteful number, since it uses less digits than its factorization.

653630328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 653630328 is about 25566.1950238983. The cubic root of 653630328 is about 867.8487953966.

It can be divided in two parts, 6536 and 30328, that added together give a square (36864 = 192²).

The spelling of 653630328 in words is "six hundred fifty-three million, six hundred thirty thousand, three hundred twenty-eight".