28641600 has 420 divisors, whose sum is σ = 120047004. Its totient is φ = 6635520.

The previous prime is 28641593. The next prime is 28641649. The reversal of 28641600 is 614682.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 27625536 = 1008^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684792 + ... + 1684808.

Almost surely, 2^28641600 is an apocalyptic number.

28641600 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 28641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

28641600 is an abundant number, since it is smaller than the sum of its proper divisors (91405404).

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

28641600 is a wasteful number, since it uses less digits than its factorization.

28641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28641600 is about 5351.7847490347. The cubic root of 28641600 is about 305.9607792869.

Adding to 28641600 its product of nonzero digits (2304), we get a square (28643904 = 5352²).

It can be divided in two parts, 28641 and 600, that added together give a square (29241 = 171²).

The spelling of 28641600 in words is "twenty-eight million, six hundred forty-one thousand, six hundred".