28246400 has 192 divisors, whose sum is σ = 86765280. Its totient is φ = 8847360.

The previous prime is 28246397. The next prime is 28246409. The reversal of 28246400 is 464282.

It is a super-2 number, since 2×28246400² = 1595718225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28246400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28246409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291152 + ... + 291248.

Almost surely, 2^28246400 is an apocalyptic number.

28246400 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 28246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43382640).

28246400 is an abundant number, since it is smaller than the sum of its proper divisors (58518880).

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

28246400 is a wasteful number, since it uses less digits than its factorization.

28246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 28246400 is about 5314.7342360649. The cubic root of 28246400 is about 304.5470298358.

The spelling of 28246400 in words is "twenty-eight million, two hundred forty-six thousand, four hundred".