28948400 has 120 divisors (see below), whose sum is σ = 79109520. Its totient is φ = 10091520.

The previous prime is 28948391. The next prime is 28948411. The reversal of 28948400 is 484982.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98654 + ... + 98946.

It is an arithmetic number, because the mean of its divisors is an integer number (659246).

Almost surely, 2^28948400 is an apocalyptic number.

28948400 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 28948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39554760).

28948400 is an abundant number, since it is smaller than the sum of its proper divisors (50161120).

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

28948400 is a wasteful number, since it uses less digits than its factorization.

28948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 28948400 is about 5380.3717343693. The cubic root of 28948400 is about 307.0493542159.

It can be divided in two parts, 289 and 48400, that multiplied together give a square (13987600 = 3740²).

The spelling of 28948400 in words is "twenty-eight million, nine hundred forty-eight thousand, four hundred".