36793728 has 144 divisors (see below), whose sum is σ = 114234900. Its totient is φ = 11335680.

The previous prime is 36793723. The next prime is 36793733. The reversal of 36793728 is 82739763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36793723) and next prime (36793733).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36793723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 897388 + ... + 897428.

Almost surely, 2^36793728 is an apocalyptic number.

36793728 is a gapful number since it is divisible by the number (38) 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 36793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57117450).

36793728 is an abundant number, since it is smaller than the sum of its proper divisors (77441172).

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

36793728 is a wasteful number, since it uses less digits than its factorization.

36793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 36793728 is about 6065.7833789215. The cubic root of 36793728 is about 332.6018019823.

The spelling of 36793728 in words is "thirty-six million, seven hundred ninety-three thousand, seven hundred twenty-eight".