28746531000 has 192 divisors, whose sum is σ = 105996664800. Its totient is φ = 6968832000.

The previous prime is 28746530999. The next prime is 28746531007. The reversal of 28746531000 is 13564782.

28746531000 is a `hidden beast` number, since 2 + 87 + 46 + 531 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×28746531000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28746531007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46185 + ... + 244184.

Almost surely, 2^28746531000 is an apocalyptic number.

28746531000 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 28746531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52998332400).

28746531000 is an abundant number, since it is smaller than the sum of its proper divisors (77250133800).

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

28746531000 is a wasteful number, since it uses less digits than its factorization.

28746531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290407 (or 290390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 28746531000 in words is "twenty-eight billion, seven hundred forty-six million, five hundred thirty-one thousand".