2827238400 has 396 divisors, whose sum is σ = 11575572112. Its totient is φ = 645857280.

The previous prime is 2827238387. The next prime is 2827238411. The reversal of 2827238400 is 48327282.

2827238400 is a `hidden beast` number, since 2 + 8 + 272 + 384 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1611924 + ... + 1613676.

Almost surely, 2^2827238400 is an apocalyptic number.

2827238400 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 2827238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787786056).

2827238400 is an abundant number, since it is smaller than the sum of its proper divisors (8748333712).

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

2827238400 is a wasteful number, since it uses less digits than its factorization.

2827238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2827238400 is about 53171.7819900744. The cubic root of 2827238400 is about 1414.0154138203.

The spelling of 2827238400 in words is "two billion, eight hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".