28952985600 has 1536 divisors, whose sum is σ = 140423155200. Its totient is φ = 5662310400.

The previous prime is 28952985499. The next prime is 28952985619. The reversal of 28952985600 is 658925982.

28952985600 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 29 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1703116792 + ... + 1703116808.

It is an arithmetic number, because the mean of its divisors is an integer number (91421325).

Almost surely, 2^28952985600 is an apocalyptic number.

28952985600 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 28952985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70211577600).

28952985600 is an abundant number, since it is smaller than the sum of its proper divisors (111470169600).

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

28952985600 is a wasteful number, since it uses less digits than its factorization.

28952985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 28952985600 in words is "twenty-eight billion, nine hundred fifty-two million, nine hundred eighty-five thousand, six hundred".