28964040 has 192 divisors, whose sum is σ = 105356160. Its totient is φ = 6236160.

The previous prime is 28964027. The next prime is 28964041. The reversal of 28964040 is 4046982.

It is a super-2 number, since 2×28964040² = 1677831226243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28963992 and 28964010.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 841 × 41 × 840.

It is not an unprimeable number, because it can be changed into a prime (28964041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706420 + ... + 706460.

It is an arithmetic number, because the mean of its divisors is an integer number (548730).

Almost surely, 2^28964040 is an apocalyptic number.

28964040 is a gapful number since it is divisible by the number (20) 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 28964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080).

28964040 is an abundant number, since it is smaller than the sum of its proper divisors (76392120).

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

28964040 is a wasteful number, since it uses less digits than its factorization.

28964040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28964040 is about 5381.8249692832. The cubic root of 28964040 is about 307.1046409481.

The spelling of 28964040 in words is "twenty-eight million, nine hundred sixty-four thousand, forty".