28770033600 has 1512 divisors, whose sum is σ = 136611506304. Its totient is φ = 5785344000.

The previous prime is 28770033563. The next prime is 28770033637. The reversal of 28770033600 is 633007782.

It is an interprime number because it is at equal distance from previous prime (28770033563) and next prime (28770033637).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 928065585 + ... + 928065615.

Almost surely, 2^28770033600 is an apocalyptic number.

28770033600 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 28770033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68305753152).

28770033600 is an abundant number, since it is smaller than the sum of its proper divisors (107841472704).

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

28770033600 is a wasteful number, since it uses less digits than its factorization.

28770033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 28770033600 in words is "twenty-eight billion, seven hundred seventy million, thirty-three thousand, six hundred".