28791948 has 48 divisors (see below), whose sum is σ = 71820000. Its totient is φ = 8945664.

The previous prime is 28791947. The next prime is 28791949. The reversal of 28791948 is 84919782.

It is an interprime number because it is at equal distance from previous prime (28791947) and next prime (28791949).

It is a junction number, because it is equal to n+sod(n) for n = 28791897 and 28791906.

It is not an unprimeable number, because it can be changed into a prime (28791943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22428 + ... + 23676.

It is an arithmetic number, because the mean of its divisors is an integer number (1496250).

Almost surely, 2^28791948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28791948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35910000).

28791948 is an abundant number, since it is smaller than the sum of its proper divisors (43028052).

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

28791948 is a wasteful number, since it uses less digits than its factorization.

28791948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1384 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 28791948 is about 5365.8128927498. The cubic root of 28791948 is about 306.4952039821.

It can be divided in two parts, 287 and 91948, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 28791948 in words is "twenty-eight million, seven hundred ninety-one thousand, nine hundred forty-eight".