28693152 has 72 divisors (see below), whose sum is σ = 82869696. Its totient is φ = 9415296.

The previous prime is 28693139. The next prime is 28693199. The reversal of 28693152 is 25139682.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18553 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^28693152 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 28693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434848).

28693152 is an abundant number, since it is smaller than the sum of its proper divisors (54176544).

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

28693152 is a wasteful number, since it uses less digits than its factorization.

28693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28693152 is about 5356.5989209572. The cubic root of 28693152 is about 306.1442354758.

The spelling of 28693152 in words is "twenty-eight million, six hundred ninety-three thousand, one hundred fifty-two".