36443628 has 96 divisors (see below), whose sum is σ = 103158720. Its totient is φ = 11059200.

The previous prime is 36443591. The next prime is 36443677. The reversal of 36443628 is 82634463.

It is a happy number.

36443628 is a `hidden beast` number, since 3 + 644 + 3 + 6 + 2 + 8 = 666.

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

Its product of digits (82944) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 36443592 and 36443601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141676 + ... + 141932.

It is an arithmetic number, because the mean of its divisors is an integer number (1074570).

Almost surely, 2^36443628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36443628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51579360).

36443628 is an abundant number, since it is smaller than the sum of its proper divisors (66715092).

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

36443628 is a wasteful number, since it uses less digits than its factorization.

36443628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 36443628 is about 6036.8558041418. The cubic root of 36443628 is about 331.5435130532.

The spelling of 36443628 in words is "thirty-six million, four hundred forty-three thousand, six hundred twenty-eight".