28461264 has 80 divisors (see below), whose sum is σ = 83869632. Its totient is φ = 8239104.

The previous prime is 28461241. The next prime is 28461271. The reversal of 28461264 is 46216482.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9267 + ... + 11949.

Almost surely, 2^28461264 is an apocalyptic number.

28461264 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 28461264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41934816).

28461264 is an abundant number, since it is smaller than the sum of its proper divisors (55408368).

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

28461264 is a wasteful number, since it uses less digits than its factorization.

28461264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2718 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 28461264 is about 5334.9099336352. The cubic root of 28461264 is about 305.3172869447.

The spelling of 28461264 in words is "twenty-eight million, four hundred sixty-one thousand, two hundred sixty-four".