28953761040 has 480 divisors, whose sum is σ = 108673044480. Its totient is φ = 7140607488.

The previous prime is 28953761017. The next prime is 28953761041. The reversal of 28953761040 is 4016735982.

28953761040 is a `hidden beast` number, since 2 + 8 + 9 + 537 + 6 + 104 + 0 = 666.

It is a super-2 number, since 2×28953761040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28953761041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15881569 + ... + 15883391.

It is an arithmetic number, because the mean of its divisors is an integer number (226402176).

It is a 1-persistent number, because it is pandigital, but 2⋅28953761040 = 57907522080 is not.

Almost surely, 2^28953761040 is an apocalyptic number.

28953761040 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 28953761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336522240).

28953761040 is an abundant number, since it is smaller than the sum of its proper divisors (79719283440).

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

28953761040 is a wasteful number, since it uses less digits than its factorization.

28953761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28953761040 in words is "twenty-eight billion, nine hundred fifty-three million, seven hundred sixty-one thousand, forty".