35928036 has 81 divisors (see below), whose sum is σ = 96924009. Its totient is φ = 11652336.

The previous prime is 35928007. The next prime is 35928097. The reversal of 35928036 is 63082953.

The square root of 35928036 is 5994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 3779136 = 5670^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 971010 + ... + 971046.

Almost surely, 2^35928036 is an apocalyptic number.

35928036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35928036 is the 5994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35928036

35928036 is an abundant number, since it is smaller than the sum of its proper divisors (60995973).

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

35928036 is an frugal number, since it uses more digits than its factorization.

35928036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 35928036 is about 329.9725597018.

Multiplying 35928036 by its sum of digits (36), we get a square (1293409296 = 35964²).

35928036 divided by its sum of digits (36) gives a square (998001 = 999²).

It can be divided in two parts, 3592 and 8036, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 35928036 in words is "thirty-five million, nine hundred twenty-eight thousand, thirty-six".