28729237600 has 288 divisors, whose sum is σ = 83910629376. Its totient is φ = 9397555200.

The previous prime is 28729237547. The next prime is 28729237613. The reversal of 28729237600 is 673292782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671667 + ... + 12673933.

It is an arithmetic number, because the mean of its divisors is an integer number (291356352).

Almost surely, 2^28729237600 is an apocalyptic number.

28729237600 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 28729237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955314688).

28729237600 is an abundant number, since it is smaller than the sum of its proper divisors (55181391776).

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

28729237600 is a wasteful number, since it uses less digits than its factorization.

28729237600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 28729237600 in words is "twenty-eight billion, seven hundred twenty-nine million, two hundred thirty-seven thousand, six hundred".