28949263200 has 864 divisors, whose sum is σ = 123934067712. Its totient is φ = 6262272000.

The previous prime is 28949263183. The next prime is 28949263201. The reversal of 28949263200 is 236294982.

28949263200 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 9 + 2 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28949263201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 31917147 + ... + 31918053.

It is an arithmetic number, because the mean of its divisors is an integer number (143442208).

Almost surely, 2^28949263200 is an apocalyptic number.

28949263200 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 28949263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61967033856).

28949263200 is an abundant number, since it is smaller than the sum of its proper divisors (94984804512).

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

28949263200 is a wasteful number, since it uses less digits than its factorization.

28949263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 28949263200 in words is "twenty-eight billion, nine hundred forty-nine million, two hundred sixty-three thousand, two hundred".