28948920 has 256 divisors, whose sum is σ = 117089280. Its totient is φ = 5529600.

The previous prime is 28948883. The next prime is 28948921. The reversal of 28948920 is 2984982.

28948920 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28948921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120000 + ... + 120240.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^28948920 is an apocalyptic number.

28948920 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 28948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

28948920 is an abundant number, since it is smaller than the sum of its proper divisors (88140360).

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

28948920 is a wasteful number, since it uses less digits than its factorization.

28948920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 28948920 is about 5380.4200579509. The cubic root of 28948920 is about 307.0511927137.

The spelling of 28948920 in words is "twenty-eight million, nine hundred forty-eight thousand, nine hundred twenty".