28880437248 has 512 divisors, whose sum is σ = 96299750400. Its totient is φ = 8599633920.

The previous prime is 28880437241. The next prime is 28880437249. The reversal of 28880437248 is 84273408882.

28880437248 is a `hidden beast` number, since 288 + 80 + 43 + 7 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28880437194 and 28880437203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28880437241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931626993 + ... + 931627023.

It is an arithmetic number, because the mean of its divisors is an integer number (188085450).

Almost surely, 2^28880437248 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 28880437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48149875200).

28880437248 is an abundant number, since it is smaller than the sum of its proper divisors (67419313152).

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

28880437248 is an frugal number, since it uses more digits than its factorization.

28880437248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 28880437248 in words is "twenty-eight billion, eight hundred eighty million, four hundred thirty-seven thousand, two hundred forty-eight".