28610400 has 288 divisors, whose sum is σ = 115492608. Its totient is φ = 5990400.

The previous prime is 28610389. The next prime is 28610401. The reversal of 28610400 is 401682.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28610401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218335 + ... + 218465.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 2^28610400 is an apocalyptic number.

28610400 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 28610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

28610400 is an abundant number, since it is smaller than the sum of its proper divisors (86882208).

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

28610400 is a wasteful number, since it uses less digits than its factorization.

28610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28610400 is about 5348.8690393391. The cubic root of 28610400 is about 305.8496420526.

The spelling of 28610400 in words is "twenty-eight million, six hundred ten thousand, four hundred".