248977728 has 84 divisors (see below), whose sum is σ = 716448148. Its totient is φ = 82667520.

The previous prime is 248977721. The next prime is 248977739. The reversal of 248977728 is 827779842.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 209438784 = 6288^2 + 14472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248977721) 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 11 ways as a sum of consecutive naturals, for example, 179598 + ... + 180978.

Almost surely, 2^248977728 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 248977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358224074).

248977728 is an abundant number, since it is smaller than the sum of its proper divisors (467470420).

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

248977728 is a wasteful number, since it uses less digits than its factorization.

248977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1699 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 248977728 is about 15779.0281069526. The cubic root of 248977728 is about 629.1006972356.

The spelling of 248977728 in words is "two hundred forty-eight million, nine hundred seventy-seven thousand, seven hundred twenty-eight".