28425264691320 has 1920 divisors, whose sum is σ = 119456657971200. Its totient is φ = 6033005991936.

The previous prime is 28425264691189. The next prime is 28425264691321. The reversal of 28425264691320 is 2319646252482.

28425264691320 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 526 + 4 + 6 + 91 + 3 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28425264691321) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13264238169 + ... + 13264240311.

It is an arithmetic number, because the mean of its divisors is an integer number (62217009360).

Almost surely, 2^{28425264691320} is an apocalyptic number.

28425264691320 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 28425264691320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59728328985600).

28425264691320 is an abundant number, since it is smaller than the sum of its proper divisors (91031393279880).

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

28425264691320 is a wasteful number, since it uses less digits than its factorization.

28425264691320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 28425264691320 in words is "twenty-eight trillion, four hundred twenty-five billion, two hundred sixty-four million, six hundred ninety-one thousand, three hundred twenty".