28632672 has 72 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 9282816.

The previous prime is 28632647. The next prime is 28632673. The reversal of 28632672 is 27623682.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28632673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9313 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^28632672 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 28632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

28632672 is an abundant number, since it is smaller than the sum of its proper divisors (55023264).

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

28632672 is a wasteful number, since it uses less digits than its factorization.

28632672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2729 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 28632672 is about 5350.9505697586. The cubic root of 28632672 is about 305.9289851866.

The spelling of 28632672 in words is "twenty-eight million, six hundred thirty-two thousand, six hundred seventy-two".