28829455200 has 720 divisors, whose sum is σ = 129423903840. Its totient is φ = 6081454080.

The previous prime is 28829455189. The next prime is 28829455217. The reversal of 28829455200 is 255492882.

28829455200 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 94 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×28829455200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5894356 + ... + 5899244.

It is an arithmetic number, because the mean of its divisors is an integer number (179755422).

Almost surely, 2^28829455200 is an apocalyptic number.

28829455200 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 28829455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64711951920).

28829455200 is an abundant number, since it is smaller than the sum of its proper divisors (100594448640).

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

28829455200 is a wasteful number, since it uses less digits than its factorization.

28829455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28829455200 in words is "twenty-eight billion, eight hundred twenty-nine million, four hundred fifty-five thousand, two hundred".