1954969128 has 256 divisors, whose sum is σ = 6918912000. Its totient is φ = 497912832.

The previous prime is 1954969123. The next prime is 1954969171. The reversal of 1954969128 is 8219694591.

1954969128 is a `hidden beast` number, since 1 + 9 + 549 + 6 + 91 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1954969123) 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, 486375 + ... + 490377.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2^1954969128 is an apocalyptic number.

1954969128 is a gapful number since it is divisible by the number (18) 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 1954969128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456000).

1954969128 is an abundant number, since it is smaller than the sum of its proper divisors (4963942872).

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

1954969128 is a wasteful number, since it uses less digits than its factorization.

1954969128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4051 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1954969128 is about 44215.0328282135. The cubic root of 1954969128 is about 1250.3932902186.

The spelling of 1954969128 in words is "one billion, nine hundred fifty-four million, nine hundred sixty-nine thousand, one hundred twenty-eight".