276728400 has 420 divisors, whose sum is σ = 1088186428. Its totient is φ = 67184640.

The previous prime is 276728383. The next prime is 276728401. The reversal of 276728400 is 4827672.

It can be written as a sum of positive squares in 6 ways, for example, as 24681024 + 252047376 = 4968^2 + 15876^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276728401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3790764 + ... + 3790836.

Almost surely, 2^276728400 is an apocalyptic number.

276728400 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 276728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544093214).

276728400 is an abundant number, since it is smaller than the sum of its proper divisors (811458028).

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

276728400 is a wasteful number, since it uses less digits than its factorization.

276728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 276728400 is about 16635.1555448093. The cubic root of 276728400 is about 651.6552683501.

The spelling of 276728400 in words is "two hundred seventy-six million, seven hundred twenty-eight thousand, four hundred".