64153728 has 128 divisors (see below), whose sum is σ = 199512000. Its totient is φ = 20238336.

The previous prime is 64153723. The next prime is 64153729. The reversal of 64153728 is 82735146.

64153728 is a `hidden beast` number, since 641 + 5 + 3 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 64153692 and 64153701.

It is not an unprimeable number, because it can be changed into a prime (64153723) 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, 65176 + ... + 66152.

Almost surely, 2^64153728 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 64153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99756000).

64153728 is an abundant number, since it is smaller than the sum of its proper divisors (135358272).

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

64153728 is a wasteful number, since it uses less digits than its factorization.

64153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 64153728 is about 8009.6022373149. The cubic root of 64153728 is about 400.3200105815.

The spelling of 64153728 in words is "sixty-four million, one hundred fifty-three thousand, seven hundred twenty-eight".