11953728 has 42 divisors (see below), whose sum is σ = 34264854. Its totient is φ = 3984384.

The previous prime is 11953723. The next prime is 11953741. The reversal of 11953728 is 82735911.

11953728 is a `hidden beast` number, since 119 + 537 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 2663424 = 3048^2 + 1632^2 .

It is a super-2 number, since 2×11953728² = 285783226195968, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11953692 and 11953701.

It is not an unprimeable number, because it can be changed into a prime (11953723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9801 + ... + 10952.

Almost surely, 2^11953728 is an apocalyptic number.

11953728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11953728 is an abundant number, since it is smaller than the sum of its proper divisors (22311126).

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

11953728 is a wasteful number, since it uses less digits than its factorization.

11953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20771 (or 20758 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11953728 is about 3457.4163764291. The cubic root of 11953728 is about 228.6482015914.

The spelling of 11953728 in words is "eleven million, nine hundred fifty-three thousand, seven hundred twenty-eight".