28966146048 has 832 divisors, whose sum is σ = 108703088640. Its totient is φ = 7431782400.

The previous prime is 28966146023. The next prime is 28966146049. The reversal of 28966146048 is 84064166982.

28966146048 is a `hidden beast` number, since 2 + 89 + 6 + 61 + 460 + 48 = 666.

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 = 28966145985 and 28966146003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28966146049) 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, 407973853 + ... + 407973923.

Almost surely, 2^28966146048 is an apocalyptic number.

28966146048 is a gapful number since it is divisible by the number (28) 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 28966146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54351544320).

28966146048 is an abundant number, since it is smaller than the sum of its proper divisors (79736942592).

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

28966146048 is a wasteful number, since it uses less digits than its factorization.

28966146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28966146048 in words is "twenty-eight billion, nine hundred sixty-six million, one hundred forty-six thousand, forty-eight".