153728688 has 80 divisors (see below), whose sum is σ = 438829056. Its totient is φ = 46126080.

The previous prime is 153728683. The next prime is 153728693. The reversal of 153728688 is 886827351.

It is an interprime number because it is at equal distance from previous prime (153728683) and next prime (153728693).

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

It is not an unprimeable number, because it can be changed into a prime (153728683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14673 + ... + 22863.

Almost surely, 2^153728688 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 153728688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219414528).

153728688 is an abundant number, since it is smaller than the sum of its proper divisors (285100368).

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

153728688 is a wasteful number, since it uses less digits than its factorization.

153728688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8236 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 153728688 is about 12398.7373550697. The cubic root of 153728688 is about 535.6958807950.

The spelling of 153728688 in words is "one hundred fifty-three million, seven hundred twenty-eight thousand, six hundred eighty-eight".