28771968 has 64 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 9277440.

The previous prime is 28771961. The next prime is 28771987. The reversal of 28771968 is 86917782.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×28771968² = 1655652285186048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28771961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 13112.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^28771968 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 28771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

28771968 is an abundant number, since it is smaller than the sum of its proper divisors (50151552).

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

28771968 is a wasteful number, since it uses less digits than its factorization.

28771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2453 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 28771968 is about 5363.9507827720. The cubic root of 28771968 is about 306.4242907388.

The spelling of 28771968 in words is "twenty-eight million, seven hundred seventy-one thousand, nine hundred sixty-eight".