28310400 has 144 divisors (see below), whose sum is σ = 101120760. Its totient is φ = 7541760.

The previous prime is 28310371. The next prime is 28310407. The reversal of 28310400 is 401382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28310407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28309 + ... + 29291.

Almost surely, 2^28310400 is an apocalyptic number.

28310400 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 28310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50560380).

28310400 is an abundant number, since it is smaller than the sum of its proper divisors (72810360).

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

28310400 is a wasteful number, since it uses less digits than its factorization.

28310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28310400 is about 5320.7518265749. The cubic root of 28310400 is about 304.7768680649.

Adding to 28310400 its reverse (401382), we get a palindrome (28711782).

The spelling of 28310400 in words is "twenty-eight million, three hundred ten thousand, four hundred".