28503951840 has 480 divisors, whose sum is σ = 123814595520. Its totient is φ = 6013771776.

The previous prime is 28503951823. The next prime is 28503951841. The reversal of 28503951840 is 4815930582.

28503951840 is a `hidden beast` number, since 2 + 8 + 503 + 95 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28503951841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1167276 + ... + 1191444.

It is an arithmetic number, because the mean of its divisors is an integer number (257947074).

Almost surely, 2^28503951840 is an apocalyptic number.

28503951840 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 28503951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61907297760).

28503951840 is an abundant number, since it is smaller than the sum of its proper divisors (95310643680).

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

28503951840 is a wasteful number, since it uses less digits than its factorization.

28503951840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24216 (or 24199 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28503951840 in words is "twenty-eight billion, five hundred three million, nine hundred fifty-one thousand, eight hundred forty".