28251449100 has 432 divisors, whose sum is σ = 105293260800. Its totient is φ = 6199119360.

The previous prime is 28251449089. The next prime is 28251449101. The reversal of 28251449100 is 194415282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28251449101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43664977 + ... + 43665623.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^28251449100 is an apocalyptic number.

28251449100 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 28251449100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

28251449100 is an abundant number, since it is smaller than the sum of its proper divisors (77041811700).

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

28251449100 is a wasteful number, since it uses less digits than its factorization.

28251449100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 28251449100 in words is "twenty-eight billion, two hundred fifty-one million, four hundred forty-nine thousand, one hundred".