2483257728 has 256 divisors, whose sum is σ = 8244080640. Its totient is φ = 645857280.

The previous prime is 2483257727. The next prime is 2483257741. The reversal of 2483257728 is 8277523842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483257727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415700 + ... + 1417452.

It is an arithmetic number, because the mean of its divisors is an integer number (32203440).

Almost surely, 2^2483257728 is an apocalyptic number.

2483257728 is a gapful number since it is divisible by the number (28) 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 2483257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122040320).

2483257728 is an abundant number, since it is smaller than the sum of its proper divisors (5760822912).

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

2483257728 is a wasteful number, since it uses less digits than its factorization.

2483257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1813 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 2483257728 is about 49832.2960337972. The cubic root of 2483257728 is about 1354.1723186072.

The spelling of 2483257728 in words is "two billion, four hundred eighty-three million, two hundred fifty-seven thousand, seven hundred twenty-eight".