1328675400 has 336 divisors, whose sum is σ = 4995031860. Its totient is φ = 326592000.

The previous prime is 1328675399. The next prime is 1328675437. The reversal of 1328675400 is 45768231.

1328675400 is a `hidden beast` number, since 1 + 32 + 86 + 7 + 540 + 0 = 666.

It is a Cunningham number, because it is equal to 36451²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 487791396 + 840884004 = 22086^2 + 28998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1895050 + ... + 1895750.

It is a vampire number, since it can be written as 23400 ⋅ 56781 (with its own digits).

Almost surely, 2^1328675400 is an apocalyptic number.

1328675400 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 1328675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497515930).

1328675400 is an abundant number, since it is smaller than the sum of its proper divisors (3666356460).

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

1328675400 is a wasteful number, since it uses less digits than its factorization.

1328675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1328675400 is about 36450.9999862830. Note that the first 4 decimals coincide. The cubic root of 1328675400 is about 1099.3592411504.

The spelling of 1328675400 in words is "one billion, three hundred twenty-eight million, six hundred seventy-five thousand, four hundred".