1328126800 has 480 divisors, whose sum is σ = 4463714304. Its totient is φ = 366336000.

The previous prime is 1328126759. The next prime is 1328126801. The reversal of 1328126800 is 86218231.

1328126800 = T₃₅₁ + T₃₅₂ + ... + T₂₀₀₀.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328126801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12412347 + ... + 12412453.

Almost surely, 2^1328126800 is an apocalyptic number.

1328126800 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 1328126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231857152).

1328126800 is an abundant number, since it is smaller than the sum of its proper divisors (3135587504).

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

1328126800 is a wasteful number, since it uses less digits than its factorization.

1328126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1328126800 is about 36443.4740385710. The cubic root of 1328126800 is about 1099.2079146224.

The spelling of 1328126800 in words is "one billion, three hundred twenty-eight million, one hundred twenty-six thousand, eight hundred".