128304000 has 448 divisors, whose sum is σ = 521754480. Its totient is φ = 31104000.

The previous prime is 128303999. The next prime is 128304019. The reversal of 128304000 is 403821.

128304000 = 73³ + 74³ + ... + 152³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663995 + ... + 11664005.

Almost surely, 2^128304000 is an apocalyptic number.

128304000 is a gapful number since it is divisible by the number (10) 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 128304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260877240).

128304000 is an abundant number, since it is smaller than the sum of its proper divisors (393450480).

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

128304000 is an frugal number, since it uses more digits than its factorization.

128304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128304000 is about 11327.1355602376. The cubic root of 128304000 is about 504.3670795180.

Adding to 128304000 its reverse (403821), we get a palindrome (128707821).

The spelling of 128304000 in words is "one hundred twenty-eight million, three hundred four thousand".