28951936 has 64 divisors (see below), whose sum is σ = 63060480. Its totient is φ = 13160448.

The previous prime is 28951933. The next prime is 28951981. The reversal of 28951936 is 63915982.

28951936 = 390² + 391² + ... + 526².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 28951892 and 28951901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28951931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211260 + ... + 211396.

It is an arithmetic number, because the mean of its divisors is an integer number (985320).

Almost surely, 2^28951936 is an apocalyptic number.

28951936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31530240).

28951936 is an abundant number, since it is smaller than the sum of its proper divisors (34108544).

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

28951936 is a wasteful number, since it uses less digits than its factorization.

28951936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 28951936 is about 5380.7003261657. The cubic root of 28951936 is about 307.0618555667.

It can be divided in two parts, 289 and 51936, that added together give a palindrome (52225).

The spelling of 28951936 in words is "twenty-eight million, nine hundred fifty-one thousand, nine hundred thirty-six".