28000464 has 80 divisors (see below), whose sum is σ = 75096384. Its totient is φ = 8985600.

The previous prime is 28000463. The next prime is 28000477. The reversal of 28000464 is 46400082.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28000463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213679 + ... + 213809.

Almost surely, 2^28000464 is an apocalyptic number.

28000464 is a gapful number since it is divisible by the number (24) 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 28000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37548192).

28000464 is an abundant number, since it is smaller than the sum of its proper divisors (47095920).

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

28000464 is a wasteful number, since it uses less digits than its factorization.

28000464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28000464 is about 5291.5464658264. The cubic root of 28000464 is about 303.6605745322.

The spelling of 28000464 in words is "twenty-eight million, four hundred sixty-four", and thus it is an aban number.