28052138400 has 288 divisors, whose sum is σ = 107274259008. Its totient is φ = 6277324800.

The previous prime is 28052138383. The next prime is 28052138417. The reversal of 28052138400 is 483125082.

It is an interprime number because it is at equal distance from previous prime (28052138383) and next prime (28052138417).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 302332 + ... + 384068.

It is an arithmetic number, because the mean of its divisors is an integer number (372480066).

Almost surely, 2^28052138400 is an apocalyptic number.

28052138400 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 28052138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53637129504).

28052138400 is an abundant number, since it is smaller than the sum of its proper divisors (79222120608).

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

28052138400 is a wasteful number, since it uses less digits than its factorization.

28052138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81784 (or 81771 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 28052138400 in words is "twenty-eight billion, fifty-two million, one hundred thirty-eight thousand, four hundred".