28407004853760 has 640 divisors, whose sum is σ = 110447519656320. Its totient is φ = 6877849190400.

The previous prime is 28407004853701. The next prime is 28407004853767. The reversal of 28407004853760 is 6735840070482.

28407004853760 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 7 + 0 + 0 + 48 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×28407004853760² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28407004853697 and 28407004853706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28407004853767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54553030 + ... + 55071290.

It is an arithmetic number, because the mean of its divisors is an integer number (172574249463).

Almost surely, 2^{28407004853760} is an apocalyptic number.

28407004853760 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 28407004853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55223759828160).

28407004853760 is an abundant number, since it is smaller than the sum of its proper divisors (82040514802560).

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

28407004853760 is a wasteful number, since it uses less digits than its factorization.

28407004853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518367 (or 518345 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 28407004853760 in words is "twenty-eight trillion, four hundred seven billion, four million, eight hundred fifty-three thousand, seven hundred sixty".