153828864 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 41472000.

The previous prime is 153828839. The next prime is 153828889. The reversal of 153828864 is 468828351.

It is an interprime number because it is at equal distance from previous prime (153828839) and next prime (153828889).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 612739 + ... + 612989.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^153828864 is an apocalyptic number.

153828864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

153828864 is an abundant number, since it is smaller than the sum of its proper divisors (382386816).

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

153828864 is a wasteful number, since it uses less digits than its factorization.

153828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 153828864 is about 12402.7764633569. The cubic root of 153828864 is about 535.8122160931.

The spelling of 153828864 in words is "one hundred fifty-three million, eight hundred twenty-eight thousand, eight hundred sixty-four".