20328000 has 336 divisors, whose sum is σ = 84319872. Its totient is φ = 4224000.

The previous prime is 20327969. The next prime is 20328013. The reversal of 20328000 is 82302.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1847995 + ... + 1848005.

It is an arithmetic number, because the mean of its divisors is an integer number (250952).

Almost surely, 2^20328000 is an apocalyptic number.

20328000 is a gapful number since it is divisible by the number (20) 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 20328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159936).

20328000 is an abundant number, since it is smaller than the sum of its proper divisors (63991872).

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

20328000 is a wasteful number, since it uses less digits than its factorization.

20328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20328000 is about 4508.6583370222. The cubic root of 20328000 is about 272.9176045135.

It can be divided in two parts, 203 and 28000, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 20328000 in words is "twenty million, three hundred twenty-eight thousand".