2826532800 has 672 divisors, whose sum is σ = 12699187200. Its totient is φ = 595537920.

The previous prime is 2826532789. The next prime is 2826532811. The reversal of 2826532800 is 82356282.

2826532800 is a `hidden beast` number, since 28 + 26 + 532 + 80 + 0 = 666.

2826532800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2826532789) and next prime (2826532811).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930841 + ... + 3931559.

It is an arithmetic number, because the mean of its divisors is an integer number (18897600).

Almost surely, 2^2826532800 is an apocalyptic number.

2826532800 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 2826532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

2826532800 is an abundant number, since it is smaller than the sum of its proper divisors (9872654400).

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

2826532800 is a wasteful number, since it uses less digits than its factorization.

2826532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2826532800 is about 53165.1464777442. The cubic root of 2826532800 is about 1413.8977710717.

The spelling of 2826532800 in words is "two billion, eight hundred twenty-six million, five hundred thirty-two thousand, eight hundred".