28469752200 has 324 divisors, whose sum is σ = 99020491245. Its totient is φ = 7330406400.

The previous prime is 28469752147. The next prime is 28469752271. The reversal of 28469752200 is 225796482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 13427710884 + 15042041316 = 115878^2 + 122646^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=119310.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 293502552 + ... + 293502648.

Almost surely, 2^28469752200 is an apocalyptic number.

28469752200 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 28469752200

28469752200 is an abundant number, since it is smaller than the sum of its proper divisors (70550739045).

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

28469752200 is a wasteful number, since it uses less digits than its factorization.

28469752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28469752200 in words is "twenty-eight billion, four hundred sixty-nine million, seven hundred fifty-two thousand, two hundred".