28763519400 has 864 divisors, whose sum is σ = 128012788800. Its totient is φ = 5712537600.

The previous prime is 28763519357. The next prime is 28763519401. The reversal of 28763519400 is 491536782.

28763519400 is a `hidden beast` number, since 2 + 8 + 7 + 635 + 1 + 9 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28763519401) 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 215 ways as a sum of consecutive naturals, for example, 22313956 + ... + 22315244.

It is an arithmetic number, because the mean of its divisors is an integer number (148162950).

It is a 1-persistent number, because it is pandigital, but 2⋅28763519400 = 57527038800 is not.

Almost surely, 2^28763519400 is an apocalyptic number.

28763519400 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 28763519400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64006394400).

28763519400 is an abundant number, since it is smaller than the sum of its proper divisors (99249269400).

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

28763519400 is a wasteful number, since it uses less digits than its factorization.

28763519400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28763519400 in words is "twenty-eight billion, seven hundred sixty-three million, five hundred nineteen thousand, four hundred".