11728980 has 72 divisors (see below), whose sum is σ = 37680552. Its totient is φ = 2942976.

The previous prime is 11728973. The next prime is 11729009. The reversal of 11728980 is 8982711.

11728980 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 can be written as a sum of positive squares in 4 ways, for example, as 1153476 + 10575504 = 1074^2 + 3252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (523341).

Almost surely, 2^11728980 is an apocalyptic number.

11728980 is a gapful number since it is divisible by the number (10) 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 11728980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840276).

11728980 is an abundant number, since it is smaller than the sum of its proper divisors (25951572).

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

11728980 is a wasteful number, since it uses less digits than its factorization.

11728980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11728980 is about 3424.7598455950. The cubic root of 11728980 is about 227.2061496137.

The spelling of 11728980 in words is "eleven million, seven hundred twenty-eight thousand, nine hundred eighty".