28649237760 has 1728 divisors, whose sum is σ = 131532871680. Its totient is φ = 5839257600.

The previous prime is 28649237689. The next prime is 28649237767. The reversal of 28649237760 is 6773294682.

28649237760 is a `hidden beast` number, since 2 + 86 + 492 + 3 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 28649237697 and 28649237706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28649237767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 924168945 + ... + 924168975.

It is an arithmetic number, because the mean of its divisors is an integer number (76118560).

Almost surely, 2^28649237760 is an apocalyptic number.

28649237760 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 28649237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65766435840).

28649237760 is an abundant number, since it is smaller than the sum of its proper divisors (102883633920).

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

28649237760 is a wasteful number, since it uses less digits than its factorization.

28649237760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 28649237760 in words is "twenty-eight billion, six hundred forty-nine million, two hundred thirty-seven thousand, seven hundred sixty".