28772893440 has 576 divisors, whose sum is σ = 105607756800. Its totient is φ = 7414972416.

The previous prime is 28772893427. The next prime is 28772893463. The reversal of 28772893440 is 4439827782.

It is a happy number.

28772893440 is a `hidden beast` number, since 28 + 77 + 28 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210021052 + ... + 210021188.

It is an arithmetic number, because the mean of its divisors is an integer number (183346800).

Almost surely, 2^28772893440 is an apocalyptic number.

28772893440 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 28772893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52803878400).

28772893440 is an abundant number, since it is smaller than the sum of its proper divisors (76834863360).

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

28772893440 is a wasteful number, since it uses less digits than its factorization.

28772893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28772893440 in words is "twenty-eight billion, seven hundred seventy-two million, eight hundred ninety-three thousand, four hundred forty".