28958773200 has 240 divisors, whose sum is σ = 106249390080. Its totient is φ = 6604623360.

The previous prime is 28958773159. The next prime is 28958773211. The reversal of 28958773200 is 237785982.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28958773200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087261 + ... + 4094339.

It is an arithmetic number, because the mean of its divisors is an integer number (442705792).

Almost surely, 2^28958773200 is an apocalyptic number.

28958773200 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 28958773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53124695040).

28958773200 is an abundant number, since it is smaller than the sum of its proper divisors (77290616880).

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

28958773200 is a wasteful number, since it uses less digits than its factorization.

28958773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 28958773200 in words is "twenty-eight billion, nine hundred fifty-eight million, seven hundred seventy-three thousand, two hundred".