28627872 has 192 divisors, whose sum is σ = 96526080. Its totient is φ = 7225344.

The previous prime is 28627871. The next prime is 28627873. The reversal of 28627872 is 27872682.

It is an interprime number because it is at equal distance from previous prime (28627871) and next prime (28627873).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28627871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253288 + ... + 253400.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^28627872 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 28627872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

28627872 is an abundant number, since it is smaller than the sum of its proper divisors (67898208).

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

28627872 is a wasteful number, since it uses less digits than its factorization.

28627872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 28627872 is about 5350.5020325199. The cubic root of 28627872 is about 305.9118888523.

The spelling of 28627872 in words is "twenty-eight million, six hundred twenty-seven thousand, eight hundred seventy-two".