2763103728 has 480 divisors, whose sum is σ = 9763264000. Its totient is φ = 670602240.

The previous prime is 2763103711. The next prime is 2763103729. The reversal of 2763103728 is 8273013672.

2763103728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763103729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37850700 + ... + 37850772.

Almost surely, 2^2763103728 is an apocalyptic number.

2763103728 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 2763103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881632000).

2763103728 is an abundant number, since it is smaller than the sum of its proper divisors (7000160272).

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

2763103728 is a wasteful number, since it uses less digits than its factorization.

2763103728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2763103728 is about 52565.2330728211. The cubic root of 2763103728 is about 1403.2414226692.

It can be divided in two parts, 2763 and 103728, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 2763103728 in words is "two billion, seven hundred sixty-three million, one hundred three thousand, seven hundred twenty-eight".