28101357400 has 96 divisors (see below), whose sum is σ = 67555140480. Its totient is φ = 10859904000.

The previous prime is 28101357341. The next prime is 28101357407. The reversal of 28101357400 is 475310182.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28101357407) 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 23 ways as a sum of consecutive naturals, for example, 4094772 + ... + 4101628.

It is an arithmetic number, because the mean of its divisors is an integer number (703699380).

Almost surely, 2^28101357400 is an apocalyptic number.

28101357400 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 28101357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33777570240).

28101357400 is an abundant number, since it is smaller than the sum of its proper divisors (39453783080).

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

28101357400 is a wasteful number, since it uses less digits than its factorization.

28101357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 28101357400 its reverse (475310182), we get a palindrome (28576667582).

The spelling of 28101357400 in words is "twenty-eight billion, one hundred one million, three hundred fifty-seven thousand, four hundred".