28628376 has 128 divisors (see below), whose sum is σ = 88473600. Its totient is φ = 7539840.

The previous prime is 28628371. The next prime is 28628381. The reversal of 28628376 is 67382682.

It is an interprime number because it is at equal distance from previous prime (28628371) and next prime (28628381).

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 (28628371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119665 + ... + 119903.

It is an arithmetic number, because the mean of its divisors is an integer number (691200).

Almost surely, 2^28628376 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 28628376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44236800).

28628376 is an abundant number, since it is smaller than the sum of its proper divisors (59845224).

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

28628376 is a wasteful number, since it uses less digits than its factorization.

28628376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 28628376 is about 5350.5491306968. The cubic root of 28628376 is about 305.9136840572.

The spelling of 28628376 in words is "twenty-eight million, six hundred twenty-eight thousand, three hundred seventy-six".